What is the Least Common Multiple of 90753 and 90765?

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 90753 and 90765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90753 and 90765, than apply into the LCM equation.

GCF(90753,90765) = 3
LCM(90753,90765) = ( 90753 × 90765) / 3
LCM(90753,90765) = 8237196045 / 3
LCM(90753,90765) = 2745732015

Least Common Multiple (LCM) of 90753 and 90765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90753 and 90765. First we will calculate the prime factors of 90753 and 90765.

Prime Factorization of 90753

Prime Factorization of 90765

Now multiplying the highest exponent prime factors to calculate the LCM of 90753 and 90765.

LCM(90753,90765) = 3² × 13² × 179¹ × 5¹ × 2017¹
LCM(90753,90765) = 2745732015