What is the Least Common Multiple of 92520 and 92528?

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 92520 and 92528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92520 and 92528, than apply into the LCM equation.

GCF(92520,92528) = 8
LCM(92520,92528) = ( 92520 × 92528) / 8
LCM(92520,92528) = 8560690560 / 8
LCM(92520,92528) = 1070086320

Least Common Multiple (LCM) of 92520 and 92528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92520 and 92528. First we will calculate the prime factors of 92520 and 92528.

Prime Factorization of 92520

Prime Factorization of 92528

Now multiplying the highest exponent prime factors to calculate the LCM of 92520 and 92528.

LCM(92520,92528) = 2⁴ × 3² × 5¹ × 257¹ × 5783¹
LCM(92520,92528) = 1070086320