What is the Least Common Multiple of 78702 and 78712?

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 78712 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 78712, than apply into the LCM equation.

GCF(78702,78712) = 2
LCM(78702,78712) = ( 78702 × 78712) / 2
LCM(78702,78712) = 6194791824 / 2
LCM(78702,78712) = 3097395912

Least Common Multiple (LCM) of 78702 and 78712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78702 and 78712. First we will calculate the prime factors of 78702 and 78712.

Prime Factorization of 78702

Prime Factorization of 78712

Now multiplying the highest exponent prime factors to calculate the LCM of 78702 and 78712.

LCM(78702,78712) = 2³ × 3¹ × 13¹ × 1009¹ × 9839¹
LCM(78702,78712) = 3097395912