What is the Least Common Multiple of 66252 and 66261?

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 66252 and 66261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66252 and 66261, than apply into the LCM equation.

GCF(66252,66261) = 3
LCM(66252,66261) = ( 66252 × 66261) / 3
LCM(66252,66261) = 4389923772 / 3
LCM(66252,66261) = 1463307924

Least Common Multiple (LCM) of 66252 and 66261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66252 and 66261. First we will calculate the prime factors of 66252 and 66261.

Prime Factorization of 66252

Prime Factorization of 66261

Now multiplying the highest exponent prime factors to calculate the LCM of 66252 and 66261.

LCM(66252,66261) = 2² × 3¹ × 5521¹ × 13¹ × 1699¹
LCM(66252,66261) = 1463307924