What is the Least Common Multiple of 55119 and 55137?

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 55119 and 55137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55119 and 55137, than apply into the LCM equation.

GCF(55119,55137) = 3
LCM(55119,55137) = ( 55119 × 55137) / 3
LCM(55119,55137) = 3039096303 / 3
LCM(55119,55137) = 1013032101

Least Common Multiple (LCM) of 55119 and 55137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55119 and 55137. First we will calculate the prime factors of 55119 and 55137.

Prime Factorization of 55119

Prime Factorization of 55137

Now multiplying the highest exponent prime factors to calculate the LCM of 55119 and 55137.

LCM(55119,55137) = 3¹ × 19¹ × 967¹ × 18379¹
LCM(55119,55137) = 1013032101