What is the Least Common Multiple of 53768 and 53774?

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 53768 and 53774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53768 and 53774, than apply into the LCM equation.

GCF(53768,53774) = 2
LCM(53768,53774) = ( 53768 × 53774) / 2
LCM(53768,53774) = 2891320432 / 2
LCM(53768,53774) = 1445660216

Least Common Multiple (LCM) of 53768 and 53774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53768 and 53774. First we will calculate the prime factors of 53768 and 53774.

Prime Factorization of 53768

Prime Factorization of 53774

Now multiplying the highest exponent prime factors to calculate the LCM of 53768 and 53774.

LCM(53768,53774) = 2³ × 11¹ × 13¹ × 47¹ × 7¹ × 23¹ × 167¹
LCM(53768,53774) = 1445660216