What is the Least Common Multiple of 47009 and 47024?

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 47009 and 47024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47009 and 47024, than apply into the LCM equation.

GCF(47009,47024) = 1
LCM(47009,47024) = ( 47009 × 47024) / 1
LCM(47009,47024) = 2210551216 / 1
LCM(47009,47024) = 2210551216

Least Common Multiple (LCM) of 47009 and 47024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47009 and 47024. First we will calculate the prime factors of 47009 and 47024.

Prime Factorization of 47009

Prime Factorization of 47024

Now multiplying the highest exponent prime factors to calculate the LCM of 47009 and 47024.

LCM(47009,47024) = 29¹ × 1621¹ × 2⁴ × 2939¹
LCM(47009,47024) = 2210551216