What is the Least Common Multiple of 58080 and 58092?

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 58080 and 58092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58080 and 58092, than apply into the LCM equation.

GCF(58080,58092) = 12
LCM(58080,58092) = ( 58080 × 58092) / 12
LCM(58080,58092) = 3373983360 / 12
LCM(58080,58092) = 281165280

Least Common Multiple (LCM) of 58080 and 58092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58080 and 58092. First we will calculate the prime factors of 58080 and 58092.

Prime Factorization of 58080

Prime Factorization of 58092

Now multiplying the highest exponent prime factors to calculate the LCM of 58080 and 58092.

LCM(58080,58092) = 2⁵ × 3¹ × 5¹ × 11² × 47¹ × 103¹
LCM(58080,58092) = 281165280