What is the Least Common Multiple of 60048 and 60058?

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 60048 and 60058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60048 and 60058, than apply into the LCM equation.

GCF(60048,60058) = 2
LCM(60048,60058) = ( 60048 × 60058) / 2
LCM(60048,60058) = 3606362784 / 2
LCM(60048,60058) = 1803181392

Least Common Multiple (LCM) of 60048 and 60058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60048 and 60058. First we will calculate the prime factors of 60048 and 60058.

Prime Factorization of 60048

Prime Factorization of 60058

Now multiplying the highest exponent prime factors to calculate the LCM of 60048 and 60058.

LCM(60048,60058) = 2⁴ × 3³ × 139¹ × 30029¹
LCM(60048,60058) = 1803181392