What is the Least Common Multiple of 79742 and 79751?

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 79742 and 79751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79742 and 79751, than apply into the LCM equation.

GCF(79742,79751) = 1
LCM(79742,79751) = ( 79742 × 79751) / 1
LCM(79742,79751) = 6359504242 / 1
LCM(79742,79751) = 6359504242

Least Common Multiple (LCM) of 79742 and 79751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79742 and 79751. First we will calculate the prime factors of 79742 and 79751.

Prime Factorization of 79742

Prime Factorization of 79751

Now multiplying the highest exponent prime factors to calculate the LCM of 79742 and 79751.

LCM(79742,79751) = 2¹ × 13¹ × 3067¹ × 7¹ × 11393¹
LCM(79742,79751) = 6359504242