What is the Least Common Multiple of 78702 and 78707?

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 78702 and 78707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78702 and 78707, than apply into the LCM equation.

GCF(78702,78707) = 1
LCM(78702,78707) = ( 78702 × 78707) / 1
LCM(78702,78707) = 6194398314 / 1
LCM(78702,78707) = 6194398314

Least Common Multiple (LCM) of 78702 and 78707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78702 and 78707. First we will calculate the prime factors of 78702 and 78707.

Prime Factorization of 78702

Prime Factorization of 78707

Now multiplying the highest exponent prime factors to calculate the LCM of 78702 and 78707.

LCM(78702,78707) = 2¹ × 3¹ × 13¹ × 1009¹ × 78707¹
LCM(78702,78707) = 6194398314