What is the Least Common Multiple of 55146 and 55160?

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 55146 and 55160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55146 and 55160, than apply into the LCM equation.

GCF(55146,55160) = 14
LCM(55146,55160) = ( 55146 × 55160) / 14
LCM(55146,55160) = 3041853360 / 14
LCM(55146,55160) = 217275240

Least Common Multiple (LCM) of 55146 and 55160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55146 and 55160. First we will calculate the prime factors of 55146 and 55160.

Prime Factorization of 55146

Prime Factorization of 55160

Now multiplying the highest exponent prime factors to calculate the LCM of 55146 and 55160.

LCM(55146,55160) = 2³ × 3¹ × 7¹ × 13¹ × 101¹ × 5¹ × 197¹
LCM(55146,55160) = 217275240