What is the Least Common Multiple of 61764 and 61783?

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 61764 and 61783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61764 and 61783, than apply into the LCM equation.

GCF(61764,61783) = 1
LCM(61764,61783) = ( 61764 × 61783) / 1
LCM(61764,61783) = 3815965212 / 1
LCM(61764,61783) = 3815965212

Least Common Multiple (LCM) of 61764 and 61783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61764 and 61783. First we will calculate the prime factors of 61764 and 61783.

Prime Factorization of 61764

Prime Factorization of 61783

Now multiplying the highest exponent prime factors to calculate the LCM of 61764 and 61783.

LCM(61764,61783) = 2² × 3¹ × 5147¹ × 31¹ × 1993¹
LCM(61764,61783) = 3815965212