What is the Least Common Multiple of 71130 and 71143?

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 71130 and 71143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71130 and 71143, than apply into the LCM equation.

GCF(71130,71143) = 1
LCM(71130,71143) = ( 71130 × 71143) / 1
LCM(71130,71143) = 5060401590 / 1
LCM(71130,71143) = 5060401590

Least Common Multiple (LCM) of 71130 and 71143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71130 and 71143. First we will calculate the prime factors of 71130 and 71143.

Prime Factorization of 71130

Prime Factorization of 71143

Now multiplying the highest exponent prime factors to calculate the LCM of 71130 and 71143.

LCM(71130,71143) = 2¹ × 3¹ × 5¹ × 2371¹ × 71143¹
LCM(71130,71143) = 5060401590