What is the Least Common Multiple of 79414 and 79432?

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 79414 and 79432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79414 and 79432, than apply into the LCM equation.

GCF(79414,79432) = 2
LCM(79414,79432) = ( 79414 × 79432) / 2
LCM(79414,79432) = 6308012848 / 2
LCM(79414,79432) = 3154006424

Least Common Multiple (LCM) of 79414 and 79432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79414 and 79432. First we will calculate the prime factors of 79414 and 79432.

Prime Factorization of 79414

Prime Factorization of 79432

Now multiplying the highest exponent prime factors to calculate the LCM of 79414 and 79432.

LCM(79414,79432) = 2³ × 59¹ × 673¹ × 9929¹
LCM(79414,79432) = 3154006424