What is the Least Common Multiple of 66234 and 66252?

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 66234 and 66252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66234 and 66252, than apply into the LCM equation.

GCF(66234,66252) = 6
LCM(66234,66252) = ( 66234 × 66252) / 6
LCM(66234,66252) = 4388134968 / 6
LCM(66234,66252) = 731355828

Least Common Multiple (LCM) of 66234 and 66252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66234 and 66252. First we will calculate the prime factors of 66234 and 66252.

Prime Factorization of 66234

Prime Factorization of 66252

Now multiplying the highest exponent prime factors to calculate the LCM of 66234 and 66252.

LCM(66234,66252) = 2² × 3¹ × 7¹ × 19¹ × 83¹ × 5521¹
LCM(66234,66252) = 731355828