What is the Least Common Multiple of 47188 and 47202?

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 47188 and 47202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47188 and 47202, than apply into the LCM equation.

GCF(47188,47202) = 2
LCM(47188,47202) = ( 47188 × 47202) / 2
LCM(47188,47202) = 2227367976 / 2
LCM(47188,47202) = 1113683988

Least Common Multiple (LCM) of 47188 and 47202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47188 and 47202. First we will calculate the prime factors of 47188 and 47202.

Prime Factorization of 47188

Prime Factorization of 47202

Now multiplying the highest exponent prime factors to calculate the LCM of 47188 and 47202.

LCM(47188,47202) = 2² × 47¹ × 251¹ × 3¹ × 7867¹
LCM(47188,47202) = 1113683988