What is the Least Common Multiple of 71412 and 71431?

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 71412 and 71431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71412 and 71431, than apply into the LCM equation.

GCF(71412,71431) = 1
LCM(71412,71431) = ( 71412 × 71431) / 1
LCM(71412,71431) = 5101030572 / 1
LCM(71412,71431) = 5101030572

Least Common Multiple (LCM) of 71412 and 71431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71412 and 71431. First we will calculate the prime factors of 71412 and 71431.

Prime Factorization of 71412

Prime Factorization of 71431

Now multiplying the highest exponent prime factors to calculate the LCM of 71412 and 71431.

LCM(71412,71431) = 2² × 3¹ × 11¹ × 541¹ × 61¹ × 1171¹
LCM(71412,71431) = 5101030572