What is the Least Common Multiple of 36594 and 36613?

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 36594 and 36613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36594 and 36613, than apply into the LCM equation.

GCF(36594,36613) = 19
LCM(36594,36613) = ( 36594 × 36613) / 19
LCM(36594,36613) = 1339816122 / 19
LCM(36594,36613) = 70516638

Least Common Multiple (LCM) of 36594 and 36613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36594 and 36613. First we will calculate the prime factors of 36594 and 36613.

Prime Factorization of 36594

Prime Factorization of 36613

Now multiplying the highest exponent prime factors to calculate the LCM of 36594 and 36613.

LCM(36594,36613) = 2¹ × 3² × 19¹ × 107¹ × 41¹ × 47¹
LCM(36594,36613) = 70516638