What is the Least Common Multiple of 40120 and 40136?

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 40136 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 40136, than apply into the LCM equation.

GCF(40120,40136) = 8
LCM(40120,40136) = ( 40120 × 40136) / 8
LCM(40120,40136) = 1610256320 / 8
LCM(40120,40136) = 201282040

Least Common Multiple (LCM) of 40120 and 40136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40120 and 40136. First we will calculate the prime factors of 40120 and 40136.

Prime Factorization of 40120

Prime Factorization of 40136

Now multiplying the highest exponent prime factors to calculate the LCM of 40120 and 40136.

LCM(40120,40136) = 2³ × 5¹ × 17¹ × 59¹ × 29¹ × 173¹
LCM(40120,40136) = 201282040