What is the Least Common Multiple of 90513 and 90532?

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 90513 and 90532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90513 and 90532, than apply into the LCM equation.

GCF(90513,90532) = 1
LCM(90513,90532) = ( 90513 × 90532) / 1
LCM(90513,90532) = 8194322916 / 1
LCM(90513,90532) = 8194322916

Least Common Multiple (LCM) of 90513 and 90532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90513 and 90532. First we will calculate the prime factors of 90513 and 90532.

Prime Factorization of 90513

Prime Factorization of 90532

Now multiplying the highest exponent prime factors to calculate the LCM of 90513 and 90532.

LCM(90513,90532) = 3² × 89¹ × 113¹ × 2² × 13¹ × 1741¹
LCM(90513,90532) = 8194322916