What is the Least Common Multiple of 55920 and 55930?

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 55920 and 55930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55920 and 55930, than apply into the LCM equation.

GCF(55920,55930) = 10
LCM(55920,55930) = ( 55920 × 55930) / 10
LCM(55920,55930) = 3127605600 / 10
LCM(55920,55930) = 312760560

Least Common Multiple (LCM) of 55920 and 55930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55920 and 55930. First we will calculate the prime factors of 55920 and 55930.

Prime Factorization of 55920

Prime Factorization of 55930

Now multiplying the highest exponent prime factors to calculate the LCM of 55920 and 55930.

LCM(55920,55930) = 2⁴ × 3¹ × 5¹ × 233¹ × 7¹ × 17¹ × 47¹
LCM(55920,55930) = 312760560