What is the Least Common Multiple of 56920 and 56938?

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 56920 and 56938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56920 and 56938, than apply into the LCM equation.

GCF(56920,56938) = 2
LCM(56920,56938) = ( 56920 × 56938) / 2
LCM(56920,56938) = 3240910960 / 2
LCM(56920,56938) = 1620455480

Least Common Multiple (LCM) of 56920 and 56938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56920 and 56938. First we will calculate the prime factors of 56920 and 56938.

Prime Factorization of 56920

Prime Factorization of 56938

Now multiplying the highest exponent prime factors to calculate the LCM of 56920 and 56938.

LCM(56920,56938) = 2³ × 5¹ × 1423¹ × 7³ × 83¹
LCM(56920,56938) = 1620455480