What is the Least Common Multiple of 61653 and 61665?

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 61653 and 61665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61653 and 61665, than apply into the LCM equation.

GCF(61653,61665) = 3
LCM(61653,61665) = ( 61653 × 61665) / 3
LCM(61653,61665) = 3801832245 / 3
LCM(61653,61665) = 1267277415

Least Common Multiple (LCM) of 61653 and 61665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61653 and 61665. First we will calculate the prime factors of 61653 and 61665.

Prime Factorization of 61653

Prime Factorization of 61665

Now multiplying the highest exponent prime factors to calculate the LCM of 61653 and 61665.

LCM(61653,61665) = 3¹ × 20551¹ × 5¹ × 4111¹
LCM(61653,61665) = 1267277415