What is the Least Common Multiple of 47395 and 47402?

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 47395 and 47402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47395 and 47402, than apply into the LCM equation.

GCF(47395,47402) = 1
LCM(47395,47402) = ( 47395 × 47402) / 1
LCM(47395,47402) = 2246617790 / 1
LCM(47395,47402) = 2246617790

Least Common Multiple (LCM) of 47395 and 47402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47395 and 47402. First we will calculate the prime factors of 47395 and 47402.

Prime Factorization of 47395

Prime Factorization of 47402

Now multiplying the highest exponent prime factors to calculate the LCM of 47395 and 47402.

LCM(47395,47402) = 5¹ × 9479¹ × 2¹ × 137¹ × 173¹
LCM(47395,47402) = 2246617790