What is the Least Common Multiple of 47414 and 47431?

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 47414 and 47431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47414 and 47431, than apply into the LCM equation.

GCF(47414,47431) = 1
LCM(47414,47431) = ( 47414 × 47431) / 1
LCM(47414,47431) = 2248893434 / 1
LCM(47414,47431) = 2248893434

Least Common Multiple (LCM) of 47414 and 47431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47414 and 47431. First we will calculate the prime factors of 47414 and 47431.

Prime Factorization of 47414

Prime Factorization of 47431

Now multiplying the highest exponent prime factors to calculate the LCM of 47414 and 47431.

LCM(47414,47431) = 2¹ × 151¹ × 157¹ × 47431¹
LCM(47414,47431) = 2248893434