What is the Least Common Multiple of 92102 and 92107?

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 of 92102 and 92107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92102 and 92107, than apply into the LCM equation.

GCF(92102,92107) = 1
LCM(92102,92107) = ( 92102 × 92107) / 1
LCM(92102,92107) = 8483238914 / 1
LCM(92102,92107) = 8483238914

Least Common Multiple (LCM) of 92102 and 92107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92102 and 92107. First we will calculate the prime factors of 92102 and 92107.

Prime Factorization of 92102

Prime Factorization of 92107

Now multiplying the highest exponent prime factors to calculate the LCM of 92102 and 92107.

LCM(92102,92107) = 2¹ × 46051¹ × 92107¹
LCM(92102,92107) = 8483238914