What is the Least Common Multiple of 61608 and 61616?

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 61608 and 61616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61608 and 61616, than apply into the LCM equation.

GCF(61608,61616) = 8
LCM(61608,61616) = ( 61608 × 61616) / 8
LCM(61608,61616) = 3796038528 / 8
LCM(61608,61616) = 474504816

Least Common Multiple (LCM) of 61608 and 61616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61608 and 61616. First we will calculate the prime factors of 61608 and 61616.

Prime Factorization of 61608

Prime Factorization of 61616

Now multiplying the highest exponent prime factors to calculate the LCM of 61608 and 61616.

LCM(61608,61616) = 2⁴ × 3¹ × 17¹ × 151¹ × 3851¹
LCM(61608,61616) = 474504816