What is the Least Common Multiple of 40476 and 40494?

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 40476 and 40494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40476 and 40494, than apply into the LCM equation.

GCF(40476,40494) = 6
LCM(40476,40494) = ( 40476 × 40494) / 6
LCM(40476,40494) = 1639035144 / 6
LCM(40476,40494) = 273172524

Least Common Multiple (LCM) of 40476 and 40494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40476 and 40494. First we will calculate the prime factors of 40476 and 40494.

Prime Factorization of 40476

Prime Factorization of 40494

Now multiplying the highest exponent prime factors to calculate the LCM of 40476 and 40494.

LCM(40476,40494) = 2² × 3¹ × 3373¹ × 17¹ × 397¹
LCM(40476,40494) = 273172524