What is the Least Common Multiple of 71614 and 71630?

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 71614 and 71630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71614 and 71630, than apply into the LCM equation.

GCF(71614,71630) = 2
LCM(71614,71630) = ( 71614 × 71630) / 2
LCM(71614,71630) = 5129710820 / 2
LCM(71614,71630) = 2564855410

Least Common Multiple (LCM) of 71614 and 71630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71614 and 71630. First we will calculate the prime factors of 71614 and 71630.

Prime Factorization of 71614

Prime Factorization of 71630

Now multiplying the highest exponent prime factors to calculate the LCM of 71614 and 71630.

LCM(71614,71630) = 2¹ × 61¹ × 587¹ × 5¹ × 13¹ × 19¹ × 29¹
LCM(71614,71630) = 2564855410