What is the Least Common Multiple of 272 and 425?
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 272 and 425 is 6800.
LCM(272,425) = 6800
Least Common Multiple of 272 and 425 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 272 and 425, than apply into the LCM equation.
GCF(272,425) = 17
LCM(272,425) = ( 272 × 425) / 17
LCM(272,425) = 115600 / 17
LCM(272,425) = 6800
Least Common Multiple (LCM) of 272 and 425 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 272 and 425. First we will calculate the prime factors of 272 and 425.
Prime Factorization of 272
Prime factors of 272 are 2, 17. Prime factorization of 272 in exponential form is:
272 = 24 × 171
Prime Factorization of 425
Prime factors of 425 are 5, 17. Prime factorization of 425 in exponential form is:
425 = 52 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 272 and 425.
LCM(272,425) = 24 × 171 × 52
LCM(272,425) = 6800
Related Least Common Multiples of 272
- LCM of 272 and 276
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- LCM of 272 and 280
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- LCM of 272 and 286
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Related Least Common Multiples of 425
- LCM of 425 and 429
- LCM of 425 and 430
- LCM of 425 and 431
- LCM of 425 and 432
- LCM of 425 and 433
- LCM of 425 and 434
- LCM of 425 and 435
- LCM of 425 and 436
- LCM of 425 and 437
- LCM of 425 and 438
- LCM of 425 and 439
- LCM of 425 and 440
- LCM of 425 and 441
- LCM of 425 and 442
- LCM of 425 and 443
- LCM of 425 and 444
- LCM of 425 and 445