What is the Least Common Multiple of 47374 and 47386?

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 47374 and 47386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47374 and 47386, than apply into the LCM equation.

GCF(47374,47386) = 2
LCM(47374,47386) = ( 47374 × 47386) / 2
LCM(47374,47386) = 2244864364 / 2
LCM(47374,47386) = 1122432182

Least Common Multiple (LCM) of 47374 and 47386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47374 and 47386. First we will calculate the prime factors of 47374 and 47386.

Prime Factorization of 47374

Prime Factorization of 47386

Now multiplying the highest exponent prime factors to calculate the LCM of 47374 and 47386.

LCM(47374,47386) = 2¹ × 23687¹ × 19¹ × 29¹ × 43¹
LCM(47374,47386) = 1122432182