What is the Least Common Multiple of 79400 and 79414?

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 79400 and 79414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79400 and 79414, than apply into the LCM equation.

GCF(79400,79414) = 2
LCM(79400,79414) = ( 79400 × 79414) / 2
LCM(79400,79414) = 6305471600 / 2
LCM(79400,79414) = 3152735800

Least Common Multiple (LCM) of 79400 and 79414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79400 and 79414. First we will calculate the prime factors of 79400 and 79414.

Prime Factorization of 79400

Prime Factorization of 79414

Now multiplying the highest exponent prime factors to calculate the LCM of 79400 and 79414.

LCM(79400,79414) = 2³ × 5² × 397¹ × 59¹ × 673¹
LCM(79400,79414) = 3152735800