What is the Least Common Multiple of 86207 and 86211?
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 86207 and 86211 is 7431991677.
LCM(86207,86211) = 7431991677
Least Common Multiple of 86207 and 86211 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86207 and 86211, than apply into the LCM equation.
GCF(86207,86211) = 1
LCM(86207,86211) = ( 86207 × 86211) / 1
LCM(86207,86211) = 7431991677 / 1
LCM(86207,86211) = 7431991677
Least Common Multiple (LCM) of 86207 and 86211 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86207 and 86211. First we will calculate the prime factors of 86207 and 86211.
Prime Factorization of 86207
Prime factors of 86207 are 11, 17, 461. Prime factorization of 86207 in exponential form is:
86207 = 111 × 171 × 4611
Prime Factorization of 86211
Prime factors of 86211 are 3, 31, 103. Prime factorization of 86211 in exponential form is:
86211 = 33 × 311 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 86207 and 86211.
LCM(86207,86211) = 111 × 171 × 4611 × 33 × 311 × 1031
LCM(86207,86211) = 7431991677
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