What is the Least Common Multiple of 262 and 2918?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 262 and 2918 is 382258.
LCM(262,2918) = 382258
Least Common Multiple of 262 and 2918 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 262 and 2918, than apply into the LCM equation.
GCF(262,2918) = 2
LCM(262,2918) = ( 262 × 2918) / 2
LCM(262,2918) = 764516 / 2
LCM(262,2918) = 382258
Least Common Multiple (LCM) of 262 and 2918 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 262 and 2918. First we will calculate the prime factors of 262 and 2918.
Prime Factorization of 262
Prime factors of 262 are 2, 131. Prime factorization of 262 in exponential form is:
262 = 21 × 1311
Prime Factorization of 2918
Prime factors of 2918 are 2, 1459. Prime factorization of 2918 in exponential form is:
2918 = 21 × 14591
Now multiplying the highest exponent prime factors to calculate the LCM of 262 and 2918.
LCM(262,2918) = 21 × 1311 × 14591
LCM(262,2918) = 382258
Related Least Common Multiples of 262
- LCM of 262 and 266
- LCM of 262 and 267
- LCM of 262 and 268
- LCM of 262 and 269
- LCM of 262 and 270
- LCM of 262 and 271
- LCM of 262 and 272
- LCM of 262 and 273
- LCM of 262 and 274
- LCM of 262 and 275
- LCM of 262 and 276
- LCM of 262 and 277
- LCM of 262 and 278
- LCM of 262 and 279
- LCM of 262 and 280
- LCM of 262 and 281
- LCM of 262 and 282
Related Least Common Multiples of 2918
- LCM of 2918 and 2922
- LCM of 2918 and 2923
- LCM of 2918 and 2924
- LCM of 2918 and 2925
- LCM of 2918 and 2926
- LCM of 2918 and 2927
- LCM of 2918 and 2928
- LCM of 2918 and 2929
- LCM of 2918 and 2930
- LCM of 2918 and 2931
- LCM of 2918 and 2932
- LCM of 2918 and 2933
- LCM of 2918 and 2934
- LCM of 2918 and 2935
- LCM of 2918 and 2936
- LCM of 2918 and 2937
- LCM of 2918 and 2938