What is the Least Common Multiple of 5452 and 5472?

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 5452 and 5472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5452 and 5472, than apply into the LCM equation.

GCF(5452,5472) = 4
LCM(5452,5472) = ( 5452 × 5472) / 4
LCM(5452,5472) = 29833344 / 4
LCM(5452,5472) = 7458336

Least Common Multiple (LCM) of 5452 and 5472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5452 and 5472. First we will calculate the prime factors of 5452 and 5472.

Prime Factorization of 5452

Prime Factorization of 5472

Now multiplying the highest exponent prime factors to calculate the LCM of 5452 and 5472.

LCM(5452,5472) = 2⁵ × 29¹ × 47¹ × 3² × 19¹
LCM(5452,5472) = 7458336