What is the Least Common Multiple of 36474 and 36492?

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 36474 and 36492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36474 and 36492, than apply into the LCM equation.

GCF(36474,36492) = 6
LCM(36474,36492) = ( 36474 × 36492) / 6
LCM(36474,36492) = 1331009208 / 6
LCM(36474,36492) = 221834868

Least Common Multiple (LCM) of 36474 and 36492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36474 and 36492. First we will calculate the prime factors of 36474 and 36492.

Prime Factorization of 36474

Prime Factorization of 36492

Now multiplying the highest exponent prime factors to calculate the LCM of 36474 and 36492.

LCM(36474,36492) = 2² × 3¹ × 6079¹ × 3041¹
LCM(36474,36492) = 221834868