What is the Least Common Multiple of 90745 and 90759?

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 90745 and 90759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90745 and 90759, than apply into the LCM equation.

GCF(90745,90759) = 1
LCM(90745,90759) = ( 90745 × 90759) / 1
LCM(90745,90759) = 8235925455 / 1
LCM(90745,90759) = 8235925455

Least Common Multiple (LCM) of 90745 and 90759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90745 and 90759. First we will calculate the prime factors of 90745 and 90759.

Prime Factorization of 90745

Prime Factorization of 90759

Now multiplying the highest exponent prime factors to calculate the LCM of 90745 and 90759.

LCM(90745,90759) = 5¹ × 18149¹ × 3¹ × 30253¹
LCM(90745,90759) = 8235925455