What is the Least Common Multiple of 58976 and 58990?

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 58976 and 58990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58976 and 58990, than apply into the LCM equation.

GCF(58976,58990) = 2
LCM(58976,58990) = ( 58976 × 58990) / 2
LCM(58976,58990) = 3478994240 / 2
LCM(58976,58990) = 1739497120

Least Common Multiple (LCM) of 58976 and 58990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58976 and 58990. First we will calculate the prime factors of 58976 and 58990.

Prime Factorization of 58976

Prime Factorization of 58990

Now multiplying the highest exponent prime factors to calculate the LCM of 58976 and 58990.

LCM(58976,58990) = 2⁵ × 19¹ × 97¹ × 5¹ × 17¹ × 347¹
LCM(58976,58990) = 1739497120