What is the Least Common Multiple of 47294 and 47307?

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 47294 and 47307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47294 and 47307, than apply into the LCM equation.

GCF(47294,47307) = 13
LCM(47294,47307) = ( 47294 × 47307) / 13
LCM(47294,47307) = 2237337258 / 13
LCM(47294,47307) = 172102866

Least Common Multiple (LCM) of 47294 and 47307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47294 and 47307. First we will calculate the prime factors of 47294 and 47307.

Prime Factorization of 47294

Prime Factorization of 47307

Now multiplying the highest exponent prime factors to calculate the LCM of 47294 and 47307.

LCM(47294,47307) = 2¹ × 13¹ × 17¹ × 107¹ × 3¹ × 1213¹
LCM(47294,47307) = 172102866