What is the Least Common Multiple of 59608 and 59626?

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 59626 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 59626, than apply into the LCM equation.

GCF(59608,59626) = 2
LCM(59608,59626) = ( 59608 × 59626) / 2
LCM(59608,59626) = 3554186608 / 2
LCM(59608,59626) = 1777093304

Least Common Multiple (LCM) of 59608 and 59626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59608 and 59626. First we will calculate the prime factors of 59608 and 59626.

Prime Factorization of 59608

Prime Factorization of 59626

Now multiplying the highest exponent prime factors to calculate the LCM of 59608 and 59626.

LCM(59608,59626) = 2³ × 7451¹ × 7¹ × 4259¹
LCM(59608,59626) = 1777093304