What is the Least Common Multiple of 90715 and 90723?

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 90715 and 90723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90715 and 90723, than apply into the LCM equation.

GCF(90715,90723) = 1
LCM(90715,90723) = ( 90715 × 90723) / 1
LCM(90715,90723) = 8229936945 / 1
LCM(90715,90723) = 8229936945

Least Common Multiple (LCM) of 90715 and 90723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90715 and 90723. First we will calculate the prime factors of 90715 and 90723.

Prime Factorization of 90715

Prime Factorization of 90723

Now multiplying the highest exponent prime factors to calculate the LCM of 90715 and 90723.

LCM(90715,90723) = 5¹ × 18143¹ × 3¹ × 30241¹
LCM(90715,90723) = 8229936945