What is the Least Common Multiple of 55152 and 55167?

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 55152 and 55167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55152 and 55167, than apply into the LCM equation.

GCF(55152,55167) = 3
LCM(55152,55167) = ( 55152 × 55167) / 3
LCM(55152,55167) = 3042570384 / 3
LCM(55152,55167) = 1014190128

Least Common Multiple (LCM) of 55152 and 55167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55152 and 55167. First we will calculate the prime factors of 55152 and 55167.

Prime Factorization of 55152

Prime Factorization of 55167

Now multiplying the highest exponent prime factors to calculate the LCM of 55152 and 55167.

LCM(55152,55167) = 2⁴ × 3² × 383¹ × 7¹ × 37¹ × 71¹
LCM(55152,55167) = 1014190128