What is the Least Common Multiple of 47408 and 47414?

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 47408 and 47414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47408 and 47414, than apply into the LCM equation.

GCF(47408,47414) = 2
LCM(47408,47414) = ( 47408 × 47414) / 2
LCM(47408,47414) = 2247802912 / 2
LCM(47408,47414) = 1123901456

Least Common Multiple (LCM) of 47408 and 47414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47408 and 47414. First we will calculate the prime factors of 47408 and 47414.

Prime Factorization of 47408

Prime Factorization of 47414

Now multiplying the highest exponent prime factors to calculate the LCM of 47408 and 47414.

LCM(47408,47414) = 2⁴ × 2963¹ × 151¹ × 157¹
LCM(47408,47414) = 1123901456