What is the Least Common Multiple of 5520 and 5538?

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 5520 and 5538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5520 and 5538, than apply into the LCM equation.

GCF(5520,5538) = 6
LCM(5520,5538) = ( 5520 × 5538) / 6
LCM(5520,5538) = 30569760 / 6
LCM(5520,5538) = 5094960

Least Common Multiple (LCM) of 5520 and 5538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5520 and 5538. First we will calculate the prime factors of 5520 and 5538.

Prime Factorization of 5520

Prime Factorization of 5538

Now multiplying the highest exponent prime factors to calculate the LCM of 5520 and 5538.

LCM(5520,5538) = 2⁴ × 3¹ × 5¹ × 23¹ × 13¹ × 71¹
LCM(5520,5538) = 5094960