What is the Least Common Multiple of 47058 and 47074?

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 47058 and 47074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47058 and 47074, than apply into the LCM equation.

GCF(47058,47074) = 2
LCM(47058,47074) = ( 47058 × 47074) / 2
LCM(47058,47074) = 2215208292 / 2
LCM(47058,47074) = 1107604146

Least Common Multiple (LCM) of 47058 and 47074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47058 and 47074. First we will calculate the prime factors of 47058 and 47074.

Prime Factorization of 47058

Prime Factorization of 47074

Now multiplying the highest exponent prime factors to calculate the LCM of 47058 and 47074.

LCM(47058,47074) = 2¹ × 3¹ × 11¹ × 23¹ × 31¹ × 23537¹
LCM(47058,47074) = 1107604146