What is the Least Common Multiple of 47336 and 47342?

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 47336 and 47342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47336 and 47342, than apply into the LCM equation.

GCF(47336,47342) = 2
LCM(47336,47342) = ( 47336 × 47342) / 2
LCM(47336,47342) = 2240980912 / 2
LCM(47336,47342) = 1120490456

Least Common Multiple (LCM) of 47336 and 47342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47336 and 47342. First we will calculate the prime factors of 47336 and 47342.

Prime Factorization of 47336

Prime Factorization of 47342

Now multiplying the highest exponent prime factors to calculate the LCM of 47336 and 47342.

LCM(47336,47342) = 2³ × 61¹ × 97¹ × 23671¹
LCM(47336,47342) = 1120490456