What is the Least Common Multiple of 55120 and 55138?

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 55120 and 55138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55120 and 55138, than apply into the LCM equation.

GCF(55120,55138) = 2
LCM(55120,55138) = ( 55120 × 55138) / 2
LCM(55120,55138) = 3039206560 / 2
LCM(55120,55138) = 1519603280

Least Common Multiple (LCM) of 55120 and 55138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55120 and 55138. First we will calculate the prime factors of 55120 and 55138.

Prime Factorization of 55120

Prime Factorization of 55138

Now multiplying the highest exponent prime factors to calculate the LCM of 55120 and 55138.

LCM(55120,55138) = 2⁴ × 5¹ × 13¹ × 53¹ × 19¹ × 1451¹
LCM(55120,55138) = 1519603280