What is the Least Common Multiple of 61616 and 61626?

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 61616 and 61626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61616 and 61626, than apply into the LCM equation.

GCF(61616,61626) = 2
LCM(61616,61626) = ( 61616 × 61626) / 2
LCM(61616,61626) = 3797147616 / 2
LCM(61616,61626) = 1898573808

Least Common Multiple (LCM) of 61616 and 61626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61616 and 61626. First we will calculate the prime factors of 61616 and 61626.

Prime Factorization of 61616

Prime Factorization of 61626

Now multiplying the highest exponent prime factors to calculate the LCM of 61616 and 61626.

LCM(61616,61626) = 2⁴ × 3851¹ × 3¹ × 10271¹
LCM(61616,61626) = 1898573808