What is the Least Common Multiple of 71170 and 71189?

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 71170 and 71189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71170 and 71189, than apply into the LCM equation.

GCF(71170,71189) = 1
LCM(71170,71189) = ( 71170 × 71189) / 1
LCM(71170,71189) = 5066521130 / 1
LCM(71170,71189) = 5066521130

Least Common Multiple (LCM) of 71170 and 71189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71170 and 71189. First we will calculate the prime factors of 71170 and 71189.

Prime Factorization of 71170

Prime Factorization of 71189

Now multiplying the highest exponent prime factors to calculate the LCM of 71170 and 71189.

LCM(71170,71189) = 2¹ × 5¹ × 11¹ × 647¹ × 257¹ × 277¹
LCM(71170,71189) = 5066521130