What is the Least Common Multiple of 79945 and 79958?

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 79945 and 79958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79945 and 79958, than apply into the LCM equation.

GCF(79945,79958) = 1
LCM(79945,79958) = ( 79945 × 79958) / 1
LCM(79945,79958) = 6392242310 / 1
LCM(79945,79958) = 6392242310

Least Common Multiple (LCM) of 79945 and 79958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79945 and 79958. First we will calculate the prime factors of 79945 and 79958.

Prime Factorization of 79945

Prime Factorization of 79958

Now multiplying the highest exponent prime factors to calculate the LCM of 79945 and 79958.

LCM(79945,79958) = 5¹ × 59¹ × 271¹ × 2¹ × 39979¹
LCM(79945,79958) = 6392242310