What is the Least Common Multiple of 59648 and 59657?

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 59648 and 59657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59648 and 59657, than apply into the LCM equation.

GCF(59648,59657) = 1
LCM(59648,59657) = ( 59648 × 59657) / 1
LCM(59648,59657) = 3558420736 / 1
LCM(59648,59657) = 3558420736

Least Common Multiple (LCM) of 59648 and 59657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59648 and 59657. First we will calculate the prime factors of 59648 and 59657.

Prime Factorization of 59648

Prime Factorization of 59657

Now multiplying the highest exponent prime factors to calculate the LCM of 59648 and 59657.

LCM(59648,59657) = 2⁸ × 233¹ × 13² × 353¹
LCM(59648,59657) = 3558420736