What is the Least Common Multiple of 89707 and 89715?

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 89707 and 89715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89707 and 89715, than apply into the LCM equation.

GCF(89707,89715) = 1
LCM(89707,89715) = ( 89707 × 89715) / 1
LCM(89707,89715) = 8048063505 / 1
LCM(89707,89715) = 8048063505

Least Common Multiple (LCM) of 89707 and 89715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89707 and 89715. First we will calculate the prime factors of 89707 and 89715.

Prime Factorization of 89707

Prime Factorization of 89715

Now multiplying the highest exponent prime factors to calculate the LCM of 89707 and 89715.

LCM(89707,89715) = 109¹ × 823¹ × 3¹ × 5¹ × 5981¹
LCM(89707,89715) = 8048063505