What is the Least Common Multiple of 40488 and 40497?

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 40488 and 40497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40488 and 40497, than apply into the LCM equation.

GCF(40488,40497) = 3
LCM(40488,40497) = ( 40488 × 40497) / 3
LCM(40488,40497) = 1639642536 / 3
LCM(40488,40497) = 546547512

Least Common Multiple (LCM) of 40488 and 40497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40488 and 40497. First we will calculate the prime factors of 40488 and 40497.

Prime Factorization of 40488

Prime Factorization of 40497

Now multiplying the highest exponent prime factors to calculate the LCM of 40488 and 40497.

LCM(40488,40497) = 2³ × 3¹ × 7¹ × 241¹ × 13499¹
LCM(40488,40497) = 546547512