What is the Least Common Multiple of 40456 and 40472?

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 40456 and 40472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40456 and 40472, than apply into the LCM equation.

GCF(40456,40472) = 8
LCM(40456,40472) = ( 40456 × 40472) / 8
LCM(40456,40472) = 1637335232 / 8
LCM(40456,40472) = 204666904

Least Common Multiple (LCM) of 40456 and 40472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40456 and 40472. First we will calculate the prime factors of 40456 and 40472.

Prime Factorization of 40456

Prime Factorization of 40472

Now multiplying the highest exponent prime factors to calculate the LCM of 40456 and 40472.

LCM(40456,40472) = 2³ × 13¹ × 389¹ × 5059¹
LCM(40456,40472) = 204666904