What is the Least Common Multiple of 57920 and 57938?

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 57920 and 57938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57920 and 57938, than apply into the LCM equation.

GCF(57920,57938) = 2
LCM(57920,57938) = ( 57920 × 57938) / 2
LCM(57920,57938) = 3355768960 / 2
LCM(57920,57938) = 1677884480

Least Common Multiple (LCM) of 57920 and 57938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57920 and 57938. First we will calculate the prime factors of 57920 and 57938.

Prime Factorization of 57920

Prime Factorization of 57938

Now multiplying the highest exponent prime factors to calculate the LCM of 57920 and 57938.

LCM(57920,57938) = 2⁶ × 5¹ × 181¹ × 59¹ × 491¹
LCM(57920,57938) = 1677884480