What is the Least Common Multiple of 36765 and 36770?

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 36765 and 36770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36765 and 36770, than apply into the LCM equation.

GCF(36765,36770) = 5
LCM(36765,36770) = ( 36765 × 36770) / 5
LCM(36765,36770) = 1351849050 / 5
LCM(36765,36770) = 270369810

Least Common Multiple (LCM) of 36765 and 36770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36765 and 36770. First we will calculate the prime factors of 36765 and 36770.

Prime Factorization of 36765

Prime Factorization of 36770

Now multiplying the highest exponent prime factors to calculate the LCM of 36765 and 36770.

LCM(36765,36770) = 3² × 5¹ × 19¹ × 43¹ × 2¹ × 3677¹
LCM(36765,36770) = 270369810