What is the Least Common Multiple of 71400 and 71417?

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 71400 and 71417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71400 and 71417, than apply into the LCM equation.

GCF(71400,71417) = 17
LCM(71400,71417) = ( 71400 × 71417) / 17
LCM(71400,71417) = 5099173800 / 17
LCM(71400,71417) = 299951400

Least Common Multiple (LCM) of 71400 and 71417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71400 and 71417. First we will calculate the prime factors of 71400 and 71417.

Prime Factorization of 71400

Prime Factorization of 71417

Now multiplying the highest exponent prime factors to calculate the LCM of 71400 and 71417.

LCM(71400,71417) = 2³ × 3¹ × 5² × 7¹ × 17¹ × 4201¹
LCM(71400,71417) = 299951400