What is the Least Common Multiple of 53960 and 53974?

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 53960 and 53974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53960 and 53974, than apply into the LCM equation.

GCF(53960,53974) = 2
LCM(53960,53974) = ( 53960 × 53974) / 2
LCM(53960,53974) = 2912437040 / 2
LCM(53960,53974) = 1456218520

Least Common Multiple (LCM) of 53960 and 53974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53960 and 53974. First we will calculate the prime factors of 53960 and 53974.

Prime Factorization of 53960

Prime Factorization of 53974

Now multiplying the highest exponent prime factors to calculate the LCM of 53960 and 53974.

LCM(53960,53974) = 2³ × 5¹ × 19¹ × 71¹ × 26987¹
LCM(53960,53974) = 1456218520