What is the Least Common Multiple of 36345 and 36364?

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 36345 and 36364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36345 and 36364, than apply into the LCM equation.

GCF(36345,36364) = 1
LCM(36345,36364) = ( 36345 × 36364) / 1
LCM(36345,36364) = 1321649580 / 1
LCM(36345,36364) = 1321649580

Least Common Multiple (LCM) of 36345 and 36364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36345 and 36364. First we will calculate the prime factors of 36345 and 36364.

Prime Factorization of 36345

Prime Factorization of 36364

Now multiplying the highest exponent prime factors to calculate the LCM of 36345 and 36364.

LCM(36345,36364) = 3¹ × 5¹ × 2423¹ × 2² × 9091¹
LCM(36345,36364) = 1321649580