What is the Least Common Multiple of 92748 and 92764?

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 92748 and 92764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92748 and 92764, than apply into the LCM equation.

GCF(92748,92764) = 4
LCM(92748,92764) = ( 92748 × 92764) / 4
LCM(92748,92764) = 8603675472 / 4
LCM(92748,92764) = 2150918868

Least Common Multiple (LCM) of 92748 and 92764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92748 and 92764. First we will calculate the prime factors of 92748 and 92764.

Prime Factorization of 92748

Prime Factorization of 92764

Now multiplying the highest exponent prime factors to calculate the LCM of 92748 and 92764.

LCM(92748,92764) = 2² × 3¹ × 59¹ × 131¹ × 7¹ × 3313¹
LCM(92748,92764) = 2150918868