What is the Least Common Multiple of 40120 and 40135?

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 40120 and 40135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40120 and 40135, than apply into the LCM equation.

GCF(40120,40135) = 5
LCM(40120,40135) = ( 40120 × 40135) / 5
LCM(40120,40135) = 1610216200 / 5
LCM(40120,40135) = 322043240

Least Common Multiple (LCM) of 40120 and 40135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40120 and 40135. First we will calculate the prime factors of 40120 and 40135.

Prime Factorization of 40120

Prime Factorization of 40135

Now multiplying the highest exponent prime factors to calculate the LCM of 40120 and 40135.

LCM(40120,40135) = 2³ × 5¹ × 17¹ × 59¹ × 23¹ × 349¹
LCM(40120,40135) = 322043240