What is the Least Common Multiple of 55540 and 55560?

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 55540 and 55560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55540 and 55560, than apply into the LCM equation.

GCF(55540,55560) = 20
LCM(55540,55560) = ( 55540 × 55560) / 20
LCM(55540,55560) = 3085802400 / 20
LCM(55540,55560) = 154290120

Least Common Multiple (LCM) of 55540 and 55560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55540 and 55560. First we will calculate the prime factors of 55540 and 55560.

Prime Factorization of 55540

Prime Factorization of 55560

Now multiplying the highest exponent prime factors to calculate the LCM of 55540 and 55560.

LCM(55540,55560) = 2³ × 5¹ × 2777¹ × 3¹ × 463¹
LCM(55540,55560) = 154290120