What is the Least Common Multiple of 87693 and 87702?

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 87693 and 87702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87693 and 87702, than apply into the LCM equation.

GCF(87693,87702) = 3
LCM(87693,87702) = ( 87693 × 87702) / 3
LCM(87693,87702) = 7690851486 / 3
LCM(87693,87702) = 2563617162

Least Common Multiple (LCM) of 87693 and 87702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87693 and 87702. First we will calculate the prime factors of 87693 and 87702.

Prime Factorization of 87693

Prime Factorization of 87702

Now multiplying the highest exponent prime factors to calculate the LCM of 87693 and 87702.

LCM(87693,87702) = 3¹ × 29231¹ × 2¹ × 47¹ × 311¹
LCM(87693,87702) = 2563617162