What is the Least Common Multiple of 87614 and 87630?

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 87630 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 87630, than apply into the LCM equation.

GCF(87614,87630) = 2
LCM(87614,87630) = ( 87614 × 87630) / 2
LCM(87614,87630) = 7677614820 / 2
LCM(87614,87630) = 3838807410

Least Common Multiple (LCM) of 87614 and 87630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87614 and 87630. First we will calculate the prime factors of 87614 and 87630.

Prime Factorization of 87614

Prime Factorization of 87630

Now multiplying the highest exponent prime factors to calculate the LCM of 87614 and 87630.

LCM(87614,87630) = 2¹ × 71¹ × 617¹ × 3¹ × 5¹ × 23¹ × 127¹
LCM(87614,87630) = 3838807410