What is the Least Common Multiple of 71338 and 71354?

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 71338 and 71354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71338 and 71354, than apply into the LCM equation.

GCF(71338,71354) = 2
LCM(71338,71354) = ( 71338 × 71354) / 2
LCM(71338,71354) = 5090251652 / 2
LCM(71338,71354) = 2545125826

Least Common Multiple (LCM) of 71338 and 71354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71338 and 71354. First we will calculate the prime factors of 71338 and 71354.

Prime Factorization of 71338

Prime Factorization of 71354

Now multiplying the highest exponent prime factors to calculate the LCM of 71338 and 71354.

LCM(71338,71354) = 2¹ × 53¹ × 673¹ × 35677¹
LCM(71338,71354) = 2545125826