What is the Least Common Multiple of 88689 and 88702?

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 88689 and 88702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88689 and 88702, than apply into the LCM equation.

GCF(88689,88702) = 1
LCM(88689,88702) = ( 88689 × 88702) / 1
LCM(88689,88702) = 7866891678 / 1
LCM(88689,88702) = 7866891678

Least Common Multiple (LCM) of 88689 and 88702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88689 and 88702. First we will calculate the prime factors of 88689 and 88702.

Prime Factorization of 88689

Prime Factorization of 88702

Now multiplying the highest exponent prime factors to calculate the LCM of 88689 and 88702.

LCM(88689,88702) = 3¹ × 17¹ × 37¹ × 47¹ × 2¹ × 44351¹
LCM(88689,88702) = 7866891678