What is the Least Common Multiple of 71934 and 71947?

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 71934 and 71947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71934 and 71947, than apply into the LCM equation.

GCF(71934,71947) = 1
LCM(71934,71947) = ( 71934 × 71947) / 1
LCM(71934,71947) = 5175435498 / 1
LCM(71934,71947) = 5175435498

Least Common Multiple (LCM) of 71934 and 71947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71934 and 71947. First we will calculate the prime factors of 71934 and 71947.

Prime Factorization of 71934

Prime Factorization of 71947

Now multiplying the highest exponent prime factors to calculate the LCM of 71934 and 71947.

LCM(71934,71947) = 2¹ × 3¹ × 19¹ × 631¹ × 71947¹
LCM(71934,71947) = 5175435498