What is the Least Common Multiple of 66144 and 66157?

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 66157 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 66157, than apply into the LCM equation.

GCF(66144,66157) = 13
LCM(66144,66157) = ( 66144 × 66157) / 13
LCM(66144,66157) = 4375888608 / 13
LCM(66144,66157) = 336606816

Least Common Multiple (LCM) of 66144 and 66157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66144 and 66157. First we will calculate the prime factors of 66144 and 66157.

Prime Factorization of 66144

Prime Factorization of 66157

Now multiplying the highest exponent prime factors to calculate the LCM of 66144 and 66157.

LCM(66144,66157) = 2⁵ × 3¹ × 13¹ × 53¹ × 7¹ × 727¹
LCM(66144,66157) = 336606816