What is the Least Common Multiple of 58074 and 58080?

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 58074 and 58080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58074 and 58080, than apply into the LCM equation.

GCF(58074,58080) = 6
LCM(58074,58080) = ( 58074 × 58080) / 6
LCM(58074,58080) = 3372937920 / 6
LCM(58074,58080) = 562156320

Least Common Multiple (LCM) of 58074 and 58080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58074 and 58080. First we will calculate the prime factors of 58074 and 58080.

Prime Factorization of 58074

Prime Factorization of 58080

Now multiplying the highest exponent prime factors to calculate the LCM of 58074 and 58080.

LCM(58074,58080) = 2⁵ × 3¹ × 9679¹ × 5¹ × 11²
LCM(58074,58080) = 562156320