What is the Least Common Multiple of 61749 and 61764?

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 61749 and 61764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61749 and 61764, than apply into the LCM equation.

GCF(61749,61764) = 3
LCM(61749,61764) = ( 61749 × 61764) / 3
LCM(61749,61764) = 3813865236 / 3
LCM(61749,61764) = 1271288412

Least Common Multiple (LCM) of 61749 and 61764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61749 and 61764. First we will calculate the prime factors of 61749 and 61764.

Prime Factorization of 61749

Prime Factorization of 61764

Now multiplying the highest exponent prime factors to calculate the LCM of 61749 and 61764.

LCM(61749,61764) = 3³ × 2287¹ × 2² × 5147¹
LCM(61749,61764) = 1271288412