What is the Least Common Multiple of 5420 and 5436?

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 5420 and 5436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5420 and 5436, than apply into the LCM equation.

GCF(5420,5436) = 4
LCM(5420,5436) = ( 5420 × 5436) / 4
LCM(5420,5436) = 29463120 / 4
LCM(5420,5436) = 7365780

Least Common Multiple (LCM) of 5420 and 5436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5420 and 5436. First we will calculate the prime factors of 5420 and 5436.

Prime Factorization of 5420

Prime Factorization of 5436

Now multiplying the highest exponent prime factors to calculate the LCM of 5420 and 5436.

LCM(5420,5436) = 2² × 5¹ × 271¹ × 3² × 151¹
LCM(5420,5436) = 7365780