What is the Least Common Multiple of 61701 and 61707?

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 61701 and 61707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61701 and 61707, than apply into the LCM equation.

GCF(61701,61707) = 3
LCM(61701,61707) = ( 61701 × 61707) / 3
LCM(61701,61707) = 3807383607 / 3
LCM(61701,61707) = 1269127869

Least Common Multiple (LCM) of 61701 and 61707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61701 and 61707. First we will calculate the prime factors of 61701 and 61707.

Prime Factorization of 61701

Prime Factorization of 61707

Now multiplying the highest exponent prime factors to calculate the LCM of 61701 and 61707.

LCM(61701,61707) = 3¹ × 131¹ × 157¹ × 67¹ × 307¹
LCM(61701,61707) = 1269127869