What is the Least Common Multiple of 47029 and 47045?

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 47029 and 47045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47029 and 47045, than apply into the LCM equation.

GCF(47029,47045) = 1
LCM(47029,47045) = ( 47029 × 47045) / 1
LCM(47029,47045) = 2212479305 / 1
LCM(47029,47045) = 2212479305

Least Common Multiple (LCM) of 47029 and 47045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47029 and 47045. First we will calculate the prime factors of 47029 and 47045.

Prime Factorization of 47029

Prime Factorization of 47045

Now multiplying the highest exponent prime factors to calculate the LCM of 47029 and 47045.

LCM(47029,47045) = 131¹ × 359¹ × 5¹ × 97²
LCM(47029,47045) = 2212479305