What is the Least Common Multiple of 59608 and 59615?

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 59608 and 59615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59608 and 59615, than apply into the LCM equation.

GCF(59608,59615) = 1
LCM(59608,59615) = ( 59608 × 59615) / 1
LCM(59608,59615) = 3553530920 / 1
LCM(59608,59615) = 3553530920

Least Common Multiple (LCM) of 59608 and 59615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59608 and 59615. First we will calculate the prime factors of 59608 and 59615.

Prime Factorization of 59608

Prime Factorization of 59615

Now multiplying the highest exponent prime factors to calculate the LCM of 59608 and 59615.

LCM(59608,59615) = 2³ × 7451¹ × 5¹ × 11923¹
LCM(59608,59615) = 3553530920