What is the Least Common Multiple of 79738 and 79754?

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 79738 and 79754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79738 and 79754, than apply into the LCM equation.

GCF(79738,79754) = 2
LCM(79738,79754) = ( 79738 × 79754) / 2
LCM(79738,79754) = 6359424452 / 2
LCM(79738,79754) = 3179712226

Least Common Multiple (LCM) of 79738 and 79754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79738 and 79754. First we will calculate the prime factors of 79738 and 79754.

Prime Factorization of 79738

Prime Factorization of 79754

Now multiplying the highest exponent prime factors to calculate the LCM of 79738 and 79754.

LCM(79738,79754) = 2¹ × 39869¹ × 39877¹
LCM(79738,79754) = 3179712226