What is the Least Common Multiple of 90596 and 90614?

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 90596 and 90614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90596 and 90614, than apply into the LCM equation.

GCF(90596,90614) = 2
LCM(90596,90614) = ( 90596 × 90614) / 2
LCM(90596,90614) = 8209265944 / 2
LCM(90596,90614) = 4104632972

Least Common Multiple (LCM) of 90596 and 90614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90596 and 90614. First we will calculate the prime factors of 90596 and 90614.

Prime Factorization of 90596

Prime Factorization of 90614

Now multiplying the highest exponent prime factors to calculate the LCM of 90596 and 90614.

LCM(90596,90614) = 2² × 11¹ × 29¹ × 71¹ × 45307¹
LCM(90596,90614) = 4104632972