What is the Least Common Multiple of 55461 and 55480?

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 55461 and 55480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55461 and 55480, than apply into the LCM equation.

GCF(55461,55480) = 19
LCM(55461,55480) = ( 55461 × 55480) / 19
LCM(55461,55480) = 3076976280 / 19
LCM(55461,55480) = 161946120

Least Common Multiple (LCM) of 55461 and 55480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55461 and 55480. First we will calculate the prime factors of 55461 and 55480.

Prime Factorization of 55461

Prime Factorization of 55480

Now multiplying the highest exponent prime factors to calculate the LCM of 55461 and 55480.

LCM(55461,55480) = 3¹ × 7¹ × 19¹ × 139¹ × 2³ × 5¹ × 73¹
LCM(55461,55480) = 161946120