What is the Least Common Multiple of 66042 and 66057?

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 66042 and 66057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66042 and 66057, than apply into the LCM equation.

GCF(66042,66057) = 3
LCM(66042,66057) = ( 66042 × 66057) / 3
LCM(66042,66057) = 4362536394 / 3
LCM(66042,66057) = 1454178798

Least Common Multiple (LCM) of 66042 and 66057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66042 and 66057. First we will calculate the prime factors of 66042 and 66057.

Prime Factorization of 66042

Prime Factorization of 66057

Now multiplying the highest exponent prime factors to calculate the LCM of 66042 and 66057.

LCM(66042,66057) = 2¹ × 3³ × 1223¹ × 97¹ × 227¹
LCM(66042,66057) = 1454178798