What is the Least Common Multiple of 90352 and 90371?

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 90352 and 90371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90352 and 90371, than apply into the LCM equation.

GCF(90352,90371) = 1
LCM(90352,90371) = ( 90352 × 90371) / 1
LCM(90352,90371) = 8165200592 / 1
LCM(90352,90371) = 8165200592

Least Common Multiple (LCM) of 90352 and 90371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90352 and 90371. First we will calculate the prime factors of 90352 and 90371.

Prime Factorization of 90352

Prime Factorization of 90371

Now multiplying the highest exponent prime factors to calculate the LCM of 90352 and 90371.

LCM(90352,90371) = 2⁴ × 5647¹ × 90371¹
LCM(90352,90371) = 8165200592