What is the Least Common Multiple of 59643 and 59648?

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 59643 and 59648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59643 and 59648, than apply into the LCM equation.

GCF(59643,59648) = 1
LCM(59643,59648) = ( 59643 × 59648) / 1
LCM(59643,59648) = 3557585664 / 1
LCM(59643,59648) = 3557585664

Least Common Multiple (LCM) of 59643 and 59648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59643 and 59648. First we will calculate the prime factors of 59643 and 59648.

Prime Factorization of 59643

Prime Factorization of 59648

Now multiplying the highest exponent prime factors to calculate the LCM of 59643 and 59648.

LCM(59643,59648) = 3³ × 47² × 2⁸ × 233¹
LCM(59643,59648) = 3557585664