What is the Least Common Multiple of 61920 and 61932?

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 61920 and 61932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61920 and 61932, than apply into the LCM equation.

GCF(61920,61932) = 12
LCM(61920,61932) = ( 61920 × 61932) / 12
LCM(61920,61932) = 3834829440 / 12
LCM(61920,61932) = 319569120

Least Common Multiple (LCM) of 61920 and 61932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61920 and 61932. First we will calculate the prime factors of 61920 and 61932.

Prime Factorization of 61920

Prime Factorization of 61932

Now multiplying the highest exponent prime factors to calculate the LCM of 61920 and 61932.

LCM(61920,61932) = 2⁵ × 3² × 5¹ × 43¹ × 13¹ × 397¹
LCM(61920,61932) = 319569120