What is the Least Common Multiple of 92736 and 92748?

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 92736 and 92748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92736 and 92748, than apply into the LCM equation.

GCF(92736,92748) = 12
LCM(92736,92748) = ( 92736 × 92748) / 12
LCM(92736,92748) = 8601078528 / 12
LCM(92736,92748) = 716756544

Least Common Multiple (LCM) of 92736 and 92748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92736 and 92748. First we will calculate the prime factors of 92736 and 92748.

Prime Factorization of 92736

Prime Factorization of 92748

Now multiplying the highest exponent prime factors to calculate the LCM of 92736 and 92748.

LCM(92736,92748) = 2⁶ × 3² × 7¹ × 23¹ × 59¹ × 131¹
LCM(92736,92748) = 716756544