What is the Least Common Multiple of 71370 and 71386?

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 71370 and 71386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71370 and 71386, than apply into the LCM equation.

GCF(71370,71386) = 2
LCM(71370,71386) = ( 71370 × 71386) / 2
LCM(71370,71386) = 5094818820 / 2
LCM(71370,71386) = 2547409410

Least Common Multiple (LCM) of 71370 and 71386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71370 and 71386. First we will calculate the prime factors of 71370 and 71386.

Prime Factorization of 71370

Prime Factorization of 71386

Now multiplying the highest exponent prime factors to calculate the LCM of 71370 and 71386.

LCM(71370,71386) = 2¹ × 3² × 5¹ × 13¹ × 61¹ × 7¹ × 5099¹
LCM(71370,71386) = 2547409410