What is the Least Common Multiple of 5920 and 5932?

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 5920 and 5932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5920 and 5932, than apply into the LCM equation.

GCF(5920,5932) = 4
LCM(5920,5932) = ( 5920 × 5932) / 4
LCM(5920,5932) = 35117440 / 4
LCM(5920,5932) = 8779360

Least Common Multiple (LCM) of 5920 and 5932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5920 and 5932. First we will calculate the prime factors of 5920 and 5932.

Prime Factorization of 5920

Prime Factorization of 5932

Now multiplying the highest exponent prime factors to calculate the LCM of 5920 and 5932.

LCM(5920,5932) = 2⁵ × 5¹ × 37¹ × 1483¹
LCM(5920,5932) = 8779360