What is the Least Common Multiple of 87614 and 87634?

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 87614 and 87634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87614 and 87634, than apply into the LCM equation.

GCF(87614,87634) = 2
LCM(87614,87634) = ( 87614 × 87634) / 2
LCM(87614,87634) = 7677965276 / 2
LCM(87614,87634) = 3838982638

Least Common Multiple (LCM) of 87614 and 87634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87614 and 87634. First we will calculate the prime factors of 87614 and 87634.

Prime Factorization of 87614

Prime Factorization of 87634

Now multiplying the highest exponent prime factors to calculate the LCM of 87614 and 87634.

LCM(87614,87634) = 2¹ × 71¹ × 617¹ × 43¹ × 1019¹
LCM(87614,87634) = 3838982638