What is the Least Common Multiple of 71414 and 71433?

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 71414 and 71433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71414 and 71433, than apply into the LCM equation.

GCF(71414,71433) = 1
LCM(71414,71433) = ( 71414 × 71433) / 1
LCM(71414,71433) = 5101316262 / 1
LCM(71414,71433) = 5101316262

Least Common Multiple (LCM) of 71414 and 71433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71414 and 71433. First we will calculate the prime factors of 71414 and 71433.

Prime Factorization of 71414

Prime Factorization of 71433

Now multiplying the highest exponent prime factors to calculate the LCM of 71414 and 71433.

LCM(71414,71433) = 2¹ × 7¹ × 5101¹ × 3² × 7937¹
LCM(71414,71433) = 5101316262