What is the Least Common Multiple of 71391 and 71400?

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 71391 and 71400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71391 and 71400, than apply into the LCM equation.

GCF(71391,71400) = 3
LCM(71391,71400) = ( 71391 × 71400) / 3
LCM(71391,71400) = 5097317400 / 3
LCM(71391,71400) = 1699105800

Least Common Multiple (LCM) of 71391 and 71400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71391 and 71400. First we will calculate the prime factors of 71391 and 71400.

Prime Factorization of 71391

Prime Factorization of 71400

Now multiplying the highest exponent prime factors to calculate the LCM of 71391 and 71400.

LCM(71391,71400) = 3¹ × 53¹ × 449¹ × 2³ × 5² × 7¹ × 17¹
LCM(71391,71400) = 1699105800