What is the Least Common Multiple of 55220 and 55231?

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 55220 and 55231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55220 and 55231, than apply into the LCM equation.

GCF(55220,55231) = 11
LCM(55220,55231) = ( 55220 × 55231) / 11
LCM(55220,55231) = 3049855820 / 11
LCM(55220,55231) = 277259620

Least Common Multiple (LCM) of 55220 and 55231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55220 and 55231. First we will calculate the prime factors of 55220 and 55231.

Prime Factorization of 55220

Prime Factorization of 55231

Now multiplying the highest exponent prime factors to calculate the LCM of 55220 and 55231.

LCM(55220,55231) = 2² × 5¹ × 11¹ × 251¹ × 5021¹
LCM(55220,55231) = 277259620