What is the Least Common Multiple of 89709 and 89714?

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 89709 and 89714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89709 and 89714, than apply into the LCM equation.

GCF(89709,89714) = 1
LCM(89709,89714) = ( 89709 × 89714) / 1
LCM(89709,89714) = 8048153226 / 1
LCM(89709,89714) = 8048153226

Least Common Multiple (LCM) of 89709 and 89714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89709 and 89714. First we will calculate the prime factors of 89709 and 89714.

Prime Factorization of 89709

Prime Factorization of 89714

Now multiplying the highest exponent prime factors to calculate the LCM of 89709 and 89714.

LCM(89709,89714) = 3¹ × 17¹ × 1759¹ × 2¹ × 31¹ × 1447¹
LCM(89709,89714) = 8048153226