What is the Least Common Multiple of 40128 and 40141?

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 40141 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 40141, than apply into the LCM equation.

GCF(40128,40141) = 1
LCM(40128,40141) = ( 40128 × 40141) / 1
LCM(40128,40141) = 1610778048 / 1
LCM(40128,40141) = 1610778048

Least Common Multiple (LCM) of 40128 and 40141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40128 and 40141. First we will calculate the prime factors of 40128 and 40141.

Prime Factorization of 40128

Prime Factorization of 40141

Now multiplying the highest exponent prime factors to calculate the LCM of 40128 and 40141.

LCM(40128,40141) = 2⁶ × 3¹ × 11¹ × 19¹ × 137¹ × 293¹
LCM(40128,40141) = 1610778048