What is the Least Common Multiple of 61600 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 61600 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 61600 and 61616, than apply into the LCM equation.

GCF(61600,61616) = 16
LCM(61600,61616) = ( 61600 × 61616) / 16
LCM(61600,61616) = 3795545600 / 16
LCM(61600,61616) = 237221600

Least Common Multiple (LCM) of 61600 and 61616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61600 and 61616. First we will calculate the prime factors of 61600 and 61616.

Prime Factorization of 61600

Prime Factorization of 61616

Now multiplying the highest exponent prime factors to calculate the LCM of 61600 and 61616.

LCM(61600,61616) = 2⁵ × 5² × 7¹ × 11¹ × 3851¹
LCM(61600,61616) = 237221600