What is the Least Common Multiple of 90765 and 90783?

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 90765 and 90783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90765 and 90783, than apply into the LCM equation.

GCF(90765,90783) = 9
LCM(90765,90783) = ( 90765 × 90783) / 9
LCM(90765,90783) = 8239918995 / 9
LCM(90765,90783) = 915546555

Least Common Multiple (LCM) of 90765 and 90783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90765 and 90783. First we will calculate the prime factors of 90765 and 90783.

Prime Factorization of 90765

Prime Factorization of 90783

Now multiplying the highest exponent prime factors to calculate the LCM of 90765 and 90783.

LCM(90765,90783) = 3² × 5¹ × 2017¹ × 7¹ × 11¹ × 131¹
LCM(90765,90783) = 915546555