What is the Least Common Multiple of 92520 and 92532?

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 92532 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 92532, than apply into the LCM equation.

GCF(92520,92532) = 12
LCM(92520,92532) = ( 92520 × 92532) / 12
LCM(92520,92532) = 8561060640 / 12
LCM(92520,92532) = 713421720

Least Common Multiple (LCM) of 92520 and 92532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92520 and 92532. First we will calculate the prime factors of 92520 and 92532.

Prime Factorization of 92520

Prime Factorization of 92532

Now multiplying the highest exponent prime factors to calculate the LCM of 92520 and 92532.

LCM(92520,92532) = 2³ × 3² × 5¹ × 257¹ × 11¹ × 701¹
LCM(92520,92532) = 713421720