What is the Least Common Multiple of 61596 and 61609?

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 61596 and 61609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61596 and 61609, than apply into the LCM equation.

GCF(61596,61609) = 1
LCM(61596,61609) = ( 61596 × 61609) / 1
LCM(61596,61609) = 3794867964 / 1
LCM(61596,61609) = 3794867964

Least Common Multiple (LCM) of 61596 and 61609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61596 and 61609. First we will calculate the prime factors of 61596 and 61609.

Prime Factorization of 61596

Prime Factorization of 61609

Now multiplying the highest exponent prime factors to calculate the LCM of 61596 and 61609.

LCM(61596,61609) = 2² × 3² × 29¹ × 59¹ × 61609¹
LCM(61596,61609) = 3794867964