What is the Least Common Multiple of 55074 and 55080?

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 55074 and 55080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55074 and 55080, than apply into the LCM equation.

GCF(55074,55080) = 6
LCM(55074,55080) = ( 55074 × 55080) / 6
LCM(55074,55080) = 3033475920 / 6
LCM(55074,55080) = 505579320

Least Common Multiple (LCM) of 55074 and 55080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55074 and 55080. First we will calculate the prime factors of 55074 and 55080.

Prime Factorization of 55074

Prime Factorization of 55080

Now multiplying the highest exponent prime factors to calculate the LCM of 55074 and 55080.

LCM(55074,55080) = 2³ × 3⁴ × 67¹ × 137¹ × 5¹ × 17¹
LCM(55074,55080) = 505579320