What is the Least Common Multiple of 59664 and 59684?

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 59664 and 59684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59664 and 59684, than apply into the LCM equation.

GCF(59664,59684) = 4
LCM(59664,59684) = ( 59664 × 59684) / 4
LCM(59664,59684) = 3560986176 / 4
LCM(59664,59684) = 890246544

Least Common Multiple (LCM) of 59664 and 59684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59664 and 59684. First we will calculate the prime factors of 59664 and 59684.

Prime Factorization of 59664

Prime Factorization of 59684

Now multiplying the highest exponent prime factors to calculate the LCM of 59664 and 59684.

LCM(59664,59684) = 2⁴ × 3¹ × 11¹ × 113¹ × 43¹ × 347¹
LCM(59664,59684) = 890246544