What is the Least Common Multiple of 36492 and 36507?

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 36492 and 36507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36492 and 36507, than apply into the LCM equation.

GCF(36492,36507) = 3
LCM(36492,36507) = ( 36492 × 36507) / 3
LCM(36492,36507) = 1332213444 / 3
LCM(36492,36507) = 444071148

Least Common Multiple (LCM) of 36492 and 36507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36492 and 36507. First we will calculate the prime factors of 36492 and 36507.

Prime Factorization of 36492

Prime Factorization of 36507

Now multiplying the highest exponent prime factors to calculate the LCM of 36492 and 36507.

LCM(36492,36507) = 2² × 3¹ × 3041¹ × 43¹ × 283¹
LCM(36492,36507) = 444071148