What is the Least Common Multiple of 71893 and 71910?

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 71893 and 71910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71893 and 71910, than apply into the LCM equation.

GCF(71893,71910) = 17
LCM(71893,71910) = ( 71893 × 71910) / 17
LCM(71893,71910) = 5169825630 / 17
LCM(71893,71910) = 304107390

Least Common Multiple (LCM) of 71893 and 71910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71893 and 71910. First we will calculate the prime factors of 71893 and 71910.

Prime Factorization of 71893

Prime Factorization of 71910

Now multiplying the highest exponent prime factors to calculate the LCM of 71893 and 71910.

LCM(71893,71910) = 17¹ × 4229¹ × 2¹ × 3² × 5¹ × 47¹
LCM(71893,71910) = 304107390