What is the Least Common Multiple of 58640 and 58660?

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 58640 and 58660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58640 and 58660, than apply into the LCM equation.

GCF(58640,58660) = 20
LCM(58640,58660) = ( 58640 × 58660) / 20
LCM(58640,58660) = 3439822400 / 20
LCM(58640,58660) = 171991120

Least Common Multiple (LCM) of 58640 and 58660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58640 and 58660. First we will calculate the prime factors of 58640 and 58660.

Prime Factorization of 58640

Prime Factorization of 58660

Now multiplying the highest exponent prime factors to calculate the LCM of 58640 and 58660.

LCM(58640,58660) = 2⁴ × 5¹ × 733¹ × 7¹ × 419¹
LCM(58640,58660) = 171991120