What is the Least Common Multiple of 36538 and 36545?

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 36538 and 36545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36538 and 36545, than apply into the LCM equation.

GCF(36538,36545) = 1
LCM(36538,36545) = ( 36538 × 36545) / 1
LCM(36538,36545) = 1335281210 / 1
LCM(36538,36545) = 1335281210

Least Common Multiple (LCM) of 36538 and 36545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36538 and 36545. First we will calculate the prime factors of 36538 and 36545.

Prime Factorization of 36538

Prime Factorization of 36545

Now multiplying the highest exponent prime factors to calculate the LCM of 36538 and 36545.

LCM(36538,36545) = 2¹ × 18269¹ × 5¹ × 7309¹
LCM(36538,36545) = 1335281210