What is the Least Common Multiple of 47022 and 47034?

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 47022 and 47034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47022 and 47034, than apply into the LCM equation.

GCF(47022,47034) = 6
LCM(47022,47034) = ( 47022 × 47034) / 6
LCM(47022,47034) = 2211632748 / 6
LCM(47022,47034) = 368605458

Least Common Multiple (LCM) of 47022 and 47034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47022 and 47034. First we will calculate the prime factors of 47022 and 47034.

Prime Factorization of 47022

Prime Factorization of 47034

Now multiplying the highest exponent prime factors to calculate the LCM of 47022 and 47034.

LCM(47022,47034) = 2¹ × 3³ × 17¹ × 461¹ × 13¹ × 67¹
LCM(47022,47034) = 368605458