What is the Least Common Multiple of 40128 and 40140?

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 40128 and 40140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40128 and 40140, than apply into the LCM equation.

GCF(40128,40140) = 12
LCM(40128,40140) = ( 40128 × 40140) / 12
LCM(40128,40140) = 1610737920 / 12
LCM(40128,40140) = 134228160

Least Common Multiple (LCM) of 40128 and 40140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40128 and 40140. First we will calculate the prime factors of 40128 and 40140.

Prime Factorization of 40128

Prime Factorization of 40140

Now multiplying the highest exponent prime factors to calculate the LCM of 40128 and 40140.

LCM(40128,40140) = 2⁶ × 3² × 11¹ × 19¹ × 5¹ × 223¹
LCM(40128,40140) = 134228160