What is the Least Common Multiple of 71382 and 71402?

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 71382 and 71402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71382 and 71402, than apply into the LCM equation.

GCF(71382,71402) = 2
LCM(71382,71402) = ( 71382 × 71402) / 2
LCM(71382,71402) = 5096817564 / 2
LCM(71382,71402) = 2548408782

Least Common Multiple (LCM) of 71382 and 71402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71382 and 71402. First we will calculate the prime factors of 71382 and 71402.

Prime Factorization of 71382

Prime Factorization of 71402

Now multiplying the highest exponent prime factors to calculate the LCM of 71382 and 71402.

LCM(71382,71402) = 2¹ × 3¹ × 11897¹ × 19¹ × 1879¹
LCM(71382,71402) = 2548408782