What is the Least Common Multiple of 71348 and 71358?

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 71348 and 71358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71348 and 71358, than apply into the LCM equation.

GCF(71348,71358) = 2
LCM(71348,71358) = ( 71348 × 71358) / 2
LCM(71348,71358) = 5091250584 / 2
LCM(71348,71358) = 2545625292

Least Common Multiple (LCM) of 71348 and 71358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71348 and 71358. First we will calculate the prime factors of 71348 and 71358.

Prime Factorization of 71348

Prime Factorization of 71358

Now multiplying the highest exponent prime factors to calculate the LCM of 71348 and 71358.

LCM(71348,71358) = 2² × 17837¹ × 3¹ × 7¹ × 1699¹
LCM(71348,71358) = 2545625292