What is the Least Common Multiple of 36750 and 36765?

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 36750 and 36765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36750 and 36765, than apply into the LCM equation.

GCF(36750,36765) = 15
LCM(36750,36765) = ( 36750 × 36765) / 15
LCM(36750,36765) = 1351113750 / 15
LCM(36750,36765) = 90074250

Least Common Multiple (LCM) of 36750 and 36765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36750 and 36765. First we will calculate the prime factors of 36750 and 36765.

Prime Factorization of 36750

Prime Factorization of 36765

Now multiplying the highest exponent prime factors to calculate the LCM of 36750 and 36765.

LCM(36750,36765) = 2¹ × 3² × 5³ × 7² × 19¹ × 43¹
LCM(36750,36765) = 90074250