What is the Least Common Multiple of 79434 and 79443?

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 79434 and 79443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79434 and 79443, than apply into the LCM equation.

GCF(79434,79443) = 9
LCM(79434,79443) = ( 79434 × 79443) / 9
LCM(79434,79443) = 6310475262 / 9
LCM(79434,79443) = 701163918

Least Common Multiple (LCM) of 79434 and 79443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79434 and 79443. First we will calculate the prime factors of 79434 and 79443.

Prime Factorization of 79434

Prime Factorization of 79443

Now multiplying the highest exponent prime factors to calculate the LCM of 79434 and 79443.

LCM(79434,79443) = 2¹ × 3³ × 1471¹ × 7¹ × 13¹ × 97¹
LCM(79434,79443) = 701163918