What is the Least Common Multiple of 59664 and 59674?

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 59674 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 59674, than apply into the LCM equation.

GCF(59664,59674) = 2
LCM(59664,59674) = ( 59664 × 59674) / 2
LCM(59664,59674) = 3560389536 / 2
LCM(59664,59674) = 1780194768

Least Common Multiple (LCM) of 59664 and 59674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59664 and 59674. First we will calculate the prime factors of 59664 and 59674.

Prime Factorization of 59664

Prime Factorization of 59674

Now multiplying the highest exponent prime factors to calculate the LCM of 59664 and 59674.

LCM(59664,59674) = 2⁴ × 3¹ × 11¹ × 113¹ × 29837¹
LCM(59664,59674) = 1780194768