What is the Least Common Multiple of 21759 and 21772?

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 21759 and 21772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21759 and 21772, than apply into the LCM equation.

GCF(21759,21772) = 1
LCM(21759,21772) = ( 21759 × 21772) / 1
LCM(21759,21772) = 473736948 / 1
LCM(21759,21772) = 473736948

Least Common Multiple (LCM) of 21759 and 21772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21759 and 21772. First we will calculate the prime factors of 21759 and 21772.

Prime Factorization of 21759

Prime Factorization of 21772

Now multiplying the highest exponent prime factors to calculate the LCM of 21759 and 21772.

LCM(21759,21772) = 3¹ × 7253¹ × 2² × 5443¹
LCM(21759,21772) = 473736948