What is the Least Common Multiple of 92931 and 92951?
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 92931 and 92951 is 8638029381.
LCM(92931,92951) = 8638029381
Least Common Multiple of 92931 and 92951 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92931 and 92951, than apply into the LCM equation.
GCF(92931,92951) = 1
LCM(92931,92951) = ( 92931 × 92951) / 1
LCM(92931,92951) = 8638029381 / 1
LCM(92931,92951) = 8638029381
Least Common Multiple (LCM) of 92931 and 92951 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92931 and 92951. First we will calculate the prime factors of 92931 and 92951.
Prime Factorization of 92931
Prime factors of 92931 are 3, 30977. Prime factorization of 92931 in exponential form is:
92931 = 31 × 309771
Prime Factorization of 92951
Prime factors of 92951 are 92951. Prime factorization of 92951 in exponential form is:
92951 = 929511
Now multiplying the highest exponent prime factors to calculate the LCM of 92931 and 92951.
LCM(92931,92951) = 31 × 309771 × 929511
LCM(92931,92951) = 8638029381
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