What is the Least Common Multiple of 55524 and 55538?

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 55524 and 55538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55524 and 55538, than apply into the LCM equation.

GCF(55524,55538) = 14
LCM(55524,55538) = ( 55524 × 55538) / 14
LCM(55524,55538) = 3083691912 / 14
LCM(55524,55538) = 220263708

Least Common Multiple (LCM) of 55524 and 55538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55524 and 55538. First we will calculate the prime factors of 55524 and 55538.

Prime Factorization of 55524

Prime Factorization of 55538

Now multiplying the highest exponent prime factors to calculate the LCM of 55524 and 55538.

LCM(55524,55538) = 2² × 3¹ × 7¹ × 661¹ × 3967¹
LCM(55524,55538) = 220263708