What is the Least Common Multiple of 40104 and 40120?

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 40104 and 40120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40104 and 40120, than apply into the LCM equation.

GCF(40104,40120) = 8
LCM(40104,40120) = ( 40104 × 40120) / 8
LCM(40104,40120) = 1608972480 / 8
LCM(40104,40120) = 201121560

Least Common Multiple (LCM) of 40104 and 40120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40104 and 40120. First we will calculate the prime factors of 40104 and 40120.

Prime Factorization of 40104

Prime Factorization of 40120

Now multiplying the highest exponent prime factors to calculate the LCM of 40104 and 40120.

LCM(40104,40120) = 2³ × 3² × 557¹ × 5¹ × 17¹ × 59¹
LCM(40104,40120) = 201121560