What is the Least Common Multiple of 61664 and 61669?

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 61664 and 61669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61664 and 61669, than apply into the LCM equation.

GCF(61664,61669) = 1
LCM(61664,61669) = ( 61664 × 61669) / 1
LCM(61664,61669) = 3802757216 / 1
LCM(61664,61669) = 3802757216

Least Common Multiple (LCM) of 61664 and 61669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61664 and 61669. First we will calculate the prime factors of 61664 and 61669.

Prime Factorization of 61664

Prime Factorization of 61669

Now multiplying the highest exponent prime factors to calculate the LCM of 61664 and 61669.

LCM(61664,61669) = 2⁵ × 41¹ × 47¹ × 83¹ × 743¹
LCM(61664,61669) = 3802757216