What is the Least Common Multiple of 55405 and 55420?

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 55405 and 55420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55405 and 55420, than apply into the LCM equation.

GCF(55405,55420) = 5
LCM(55405,55420) = ( 55405 × 55420) / 5
LCM(55405,55420) = 3070545100 / 5
LCM(55405,55420) = 614109020

Least Common Multiple (LCM) of 55405 and 55420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55405 and 55420. First we will calculate the prime factors of 55405 and 55420.

Prime Factorization of 55405

Prime Factorization of 55420

Now multiplying the highest exponent prime factors to calculate the LCM of 55405 and 55420.

LCM(55405,55420) = 5¹ × 7¹ × 1583¹ × 2² × 17¹ × 163¹
LCM(55405,55420) = 614109020