What is the Least Common Multiple of 79690 and 79694?

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 79690 and 79694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79690 and 79694, than apply into the LCM equation.

GCF(79690,79694) = 2
LCM(79690,79694) = ( 79690 × 79694) / 2
LCM(79690,79694) = 6350814860 / 2
LCM(79690,79694) = 3175407430

Least Common Multiple (LCM) of 79690 and 79694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79690 and 79694. First we will calculate the prime factors of 79690 and 79694.

Prime Factorization of 79690

Prime Factorization of 79694

Now multiplying the highest exponent prime factors to calculate the LCM of 79690 and 79694.

LCM(79690,79694) = 2¹ × 5¹ × 13¹ × 613¹ × 39847¹
LCM(79690,79694) = 3175407430