What is the Least Common Multiple of 71189 and 71205?

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 71189 and 71205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71189 and 71205, than apply into the LCM equation.

GCF(71189,71205) = 1
LCM(71189,71205) = ( 71189 × 71205) / 1
LCM(71189,71205) = 5069012745 / 1
LCM(71189,71205) = 5069012745

Least Common Multiple (LCM) of 71189 and 71205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71189 and 71205. First we will calculate the prime factors of 71189 and 71205.

Prime Factorization of 71189

Prime Factorization of 71205

Now multiplying the highest exponent prime factors to calculate the LCM of 71189 and 71205.

LCM(71189,71205) = 257¹ × 277¹ × 3¹ × 5¹ × 47¹ × 101¹
LCM(71189,71205) = 5069012745