What is the Least Common Multiple of 47334 and 47339?

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 47334 and 47339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47334 and 47339, than apply into the LCM equation.

GCF(47334,47339) = 1
LCM(47334,47339) = ( 47334 × 47339) / 1
LCM(47334,47339) = 2240744226 / 1
LCM(47334,47339) = 2240744226

Least Common Multiple (LCM) of 47334 and 47339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47334 and 47339. First we will calculate the prime factors of 47334 and 47339.

Prime Factorization of 47334

Prime Factorization of 47339

Now multiplying the highest exponent prime factors to calculate the LCM of 47334 and 47339.

LCM(47334,47339) = 2¹ × 3¹ × 7³ × 23¹ × 47339¹
LCM(47334,47339) = 2240744226