What is the Least Common Multiple of 58992 and 59007?

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 58992 and 59007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58992 and 59007, than apply into the LCM equation.

GCF(58992,59007) = 3
LCM(58992,59007) = ( 58992 × 59007) / 3
LCM(58992,59007) = 3480940944 / 3
LCM(58992,59007) = 1160313648

Least Common Multiple (LCM) of 58992 and 59007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58992 and 59007. First we will calculate the prime factors of 58992 and 59007.

Prime Factorization of 58992

Prime Factorization of 59007

Now multiplying the highest exponent prime factors to calculate the LCM of 58992 and 59007.

LCM(58992,59007) = 2⁴ × 3¹ × 1229¹ × 13¹ × 17¹ × 89¹
LCM(58992,59007) = 1160313648