What is the Least Common Multiple of 90516 and 90536?

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 90516 and 90536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90516 and 90536, than apply into the LCM equation.

GCF(90516,90536) = 4
LCM(90516,90536) = ( 90516 × 90536) / 4
LCM(90516,90536) = 8194956576 / 4
LCM(90516,90536) = 2048739144

Least Common Multiple (LCM) of 90516 and 90536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90516 and 90536. First we will calculate the prime factors of 90516 and 90536.

Prime Factorization of 90516

Prime Factorization of 90536

Now multiplying the highest exponent prime factors to calculate the LCM of 90516 and 90536.

LCM(90516,90536) = 2³ × 3¹ × 19¹ × 397¹ × 11317¹
LCM(90516,90536) = 2048739144