What is the Least Common Multiple of 59696 and 59707?

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 59696 and 59707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59696 and 59707, than apply into the LCM equation.

GCF(59696,59707) = 1
LCM(59696,59707) = ( 59696 × 59707) / 1
LCM(59696,59707) = 3564269072 / 1
LCM(59696,59707) = 3564269072

Least Common Multiple (LCM) of 59696 and 59707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59696 and 59707. First we will calculate the prime factors of 59696 and 59707.

Prime Factorization of 59696

Prime Factorization of 59707

Now multiplying the highest exponent prime factors to calculate the LCM of 59696 and 59707.

LCM(59696,59707) = 2⁴ × 7¹ × 13¹ × 41¹ × 59707¹
LCM(59696,59707) = 3564269072