What is the Least Common Multiple of 47229 and 47238?

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 47229 and 47238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47229 and 47238, than apply into the LCM equation.

GCF(47229,47238) = 3
LCM(47229,47238) = ( 47229 × 47238) / 3
LCM(47229,47238) = 2231003502 / 3
LCM(47229,47238) = 743667834

Least Common Multiple (LCM) of 47229 and 47238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47229 and 47238. First we will calculate the prime factors of 47229 and 47238.

Prime Factorization of 47229

Prime Factorization of 47238

Now multiplying the highest exponent prime factors to calculate the LCM of 47229 and 47238.

LCM(47229,47238) = 3¹ × 7¹ × 13¹ × 173¹ × 2¹ × 7873¹
LCM(47229,47238) = 743667834