What is the Least Common Multiple of 94714 and 94729?

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 94714 and 94729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94714 and 94729, than apply into the LCM equation.

GCF(94714,94729) = 1
LCM(94714,94729) = ( 94714 × 94729) / 1
LCM(94714,94729) = 8972162506 / 1
LCM(94714,94729) = 8972162506

Least Common Multiple (LCM) of 94714 and 94729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94714 and 94729. First we will calculate the prime factors of 94714 and 94729.

Prime Factorization of 94714

Prime Factorization of 94729

Now multiplying the highest exponent prime factors to calculate the LCM of 94714 and 94729.

LCM(94714,94729) = 2¹ × 23¹ × 29¹ × 71¹ × 43¹ × 2203¹
LCM(94714,94729) = 8972162506