What is the Least Common Multiple of 62342 and 62348?

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 62342 and 62348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62342 and 62348, than apply into the LCM equation.

GCF(62342,62348) = 2
LCM(62342,62348) = ( 62342 × 62348) / 2
LCM(62342,62348) = 3886899016 / 2
LCM(62342,62348) = 1943449508

Least Common Multiple (LCM) of 62342 and 62348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62342 and 62348. First we will calculate the prime factors of 62342 and 62348.

Prime Factorization of 62342

Prime Factorization of 62348

Now multiplying the highest exponent prime factors to calculate the LCM of 62342 and 62348.

LCM(62342,62348) = 2² × 7¹ × 61¹ × 73¹ × 11¹ × 13¹ × 109¹
LCM(62342,62348) = 1943449508