What is the Least Common Multiple of 40161 and 40170?

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 40161 and 40170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40161 and 40170, than apply into the LCM equation.

GCF(40161,40170) = 3
LCM(40161,40170) = ( 40161 × 40170) / 3
LCM(40161,40170) = 1613267370 / 3
LCM(40161,40170) = 537755790

Least Common Multiple (LCM) of 40161 and 40170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40161 and 40170. First we will calculate the prime factors of 40161 and 40170.

Prime Factorization of 40161

Prime Factorization of 40170

Now multiplying the highest exponent prime factors to calculate the LCM of 40161 and 40170.

LCM(40161,40170) = 3¹ × 11¹ × 1217¹ × 2¹ × 5¹ × 13¹ × 103¹
LCM(40161,40170) = 537755790