What is the Least Common Multiple of 90614 and 90619?

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 90614 and 90619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90614 and 90619, than apply into the LCM equation.

GCF(90614,90619) = 1
LCM(90614,90619) = ( 90614 × 90619) / 1
LCM(90614,90619) = 8211350066 / 1
LCM(90614,90619) = 8211350066

Least Common Multiple (LCM) of 90614 and 90619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90614 and 90619. First we will calculate the prime factors of 90614 and 90619.

Prime Factorization of 90614

Prime Factorization of 90619

Now multiplying the highest exponent prime factors to calculate the LCM of 90614 and 90619.

LCM(90614,90619) = 2¹ × 45307¹ × 90619¹
LCM(90614,90619) = 8211350066