What is the Least Common Multiple of 92920 and 92937?

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 92920 and 92937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92920 and 92937, than apply into the LCM equation.

GCF(92920,92937) = 1
LCM(92920,92937) = ( 92920 × 92937) / 1
LCM(92920,92937) = 8635706040 / 1
LCM(92920,92937) = 8635706040

Least Common Multiple (LCM) of 92920 and 92937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92920 and 92937. First we will calculate the prime factors of 92920 and 92937.

Prime Factorization of 92920

Prime Factorization of 92937

Now multiplying the highest exponent prime factors to calculate the LCM of 92920 and 92937.

LCM(92920,92937) = 2³ × 5¹ × 23¹ × 101¹ × 3¹ × 13¹ × 2383¹
LCM(92920,92937) = 8635706040