What is the Least Common Multiple of 92748 and 92752?

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 92752 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 92752, than apply into the LCM equation.

GCF(92748,92752) = 4
LCM(92748,92752) = ( 92748 × 92752) / 4
LCM(92748,92752) = 8602562496 / 4
LCM(92748,92752) = 2150640624

Least Common Multiple (LCM) of 92748 and 92752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92748 and 92752. First we will calculate the prime factors of 92748 and 92752.

Prime Factorization of 92748

Prime Factorization of 92752

Now multiplying the highest exponent prime factors to calculate the LCM of 92748 and 92752.

LCM(92748,92752) = 2⁴ × 3¹ × 59¹ × 131¹ × 11¹ × 17¹ × 31¹
LCM(92748,92752) = 2150640624