What is the Least Common Multiple of 36364 and 36377?

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 36364 and 36377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36364 and 36377, than apply into the LCM equation.

GCF(36364,36377) = 1
LCM(36364,36377) = ( 36364 × 36377) / 1
LCM(36364,36377) = 1322813228 / 1
LCM(36364,36377) = 1322813228

Least Common Multiple (LCM) of 36364 and 36377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36364 and 36377. First we will calculate the prime factors of 36364 and 36377.

Prime Factorization of 36364

Prime Factorization of 36377

Now multiplying the highest exponent prime factors to calculate the LCM of 36364 and 36377.

LCM(36364,36377) = 2² × 9091¹ × 11¹ × 3307¹
LCM(36364,36377) = 1322813228