What is the Least Common Multiple of 55980 and 55989?

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 55980 and 55989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55980 and 55989, than apply into the LCM equation.

GCF(55980,55989) = 9
LCM(55980,55989) = ( 55980 × 55989) / 9
LCM(55980,55989) = 3134264220 / 9
LCM(55980,55989) = 348251580

Least Common Multiple (LCM) of 55980 and 55989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55980 and 55989. First we will calculate the prime factors of 55980 and 55989.

Prime Factorization of 55980

Prime Factorization of 55989

Now multiplying the highest exponent prime factors to calculate the LCM of 55980 and 55989.

LCM(55980,55989) = 2² × 3² × 5¹ × 311¹ × 6221¹
LCM(55980,55989) = 348251580