What is the Least Common Multiple of 55138 and 55152?

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 55138 and 55152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55138 and 55152, than apply into the LCM equation.

GCF(55138,55152) = 2
LCM(55138,55152) = ( 55138 × 55152) / 2
LCM(55138,55152) = 3040970976 / 2
LCM(55138,55152) = 1520485488

Least Common Multiple (LCM) of 55138 and 55152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55138 and 55152. First we will calculate the prime factors of 55138 and 55152.

Prime Factorization of 55138

Prime Factorization of 55152

Now multiplying the highest exponent prime factors to calculate the LCM of 55138 and 55152.

LCM(55138,55152) = 2⁴ × 19¹ × 1451¹ × 3² × 383¹
LCM(55138,55152) = 1520485488