What is the Least Common Multiple of 66144 and 66148?

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 66144 and 66148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66144 and 66148, than apply into the LCM equation.

GCF(66144,66148) = 4
LCM(66144,66148) = ( 66144 × 66148) / 4
LCM(66144,66148) = 4375293312 / 4
LCM(66144,66148) = 1093823328

Least Common Multiple (LCM) of 66144 and 66148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66144 and 66148. First we will calculate the prime factors of 66144 and 66148.

Prime Factorization of 66144

Prime Factorization of 66148

Now multiplying the highest exponent prime factors to calculate the LCM of 66144 and 66148.

LCM(66144,66148) = 2⁵ × 3¹ × 13¹ × 53¹ × 23¹ × 719¹
LCM(66144,66148) = 1093823328