What is the Least Common Multiple of 58980 and 58995?

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 58980 and 58995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58980 and 58995, than apply into the LCM equation.

GCF(58980,58995) = 15
LCM(58980,58995) = ( 58980 × 58995) / 15
LCM(58980,58995) = 3479525100 / 15
LCM(58980,58995) = 231968340

Least Common Multiple (LCM) of 58980 and 58995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58980 and 58995. First we will calculate the prime factors of 58980 and 58995.

Prime Factorization of 58980

Prime Factorization of 58995

Now multiplying the highest exponent prime factors to calculate the LCM of 58980 and 58995.

LCM(58980,58995) = 2² × 3³ × 5¹ × 983¹ × 19¹ × 23¹
LCM(58980,58995) = 231968340