What is the Least Common Multiple of 47074 and 47086?

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 47074 and 47086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47074 and 47086, than apply into the LCM equation.

GCF(47074,47086) = 2
LCM(47074,47086) = ( 47074 × 47086) / 2
LCM(47074,47086) = 2216526364 / 2
LCM(47074,47086) = 1108263182

Least Common Multiple (LCM) of 47074 and 47086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47074 and 47086. First we will calculate the prime factors of 47074 and 47086.

Prime Factorization of 47074

Prime Factorization of 47086

Now multiplying the highest exponent prime factors to calculate the LCM of 47074 and 47086.

LCM(47074,47086) = 2¹ × 23537¹ × 13¹ × 1811¹
LCM(47074,47086) = 1108263182