What is the Least Common Multiple of 53860 and 53876?

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 53860 and 53876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53860 and 53876, than apply into the LCM equation.

GCF(53860,53876) = 4
LCM(53860,53876) = ( 53860 × 53876) / 4
LCM(53860,53876) = 2901761360 / 4
LCM(53860,53876) = 725440340

Least Common Multiple (LCM) of 53860 and 53876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53860 and 53876. First we will calculate the prime factors of 53860 and 53876.

Prime Factorization of 53860

Prime Factorization of 53876

Now multiplying the highest exponent prime factors to calculate the LCM of 53860 and 53876.

LCM(53860,53876) = 2² × 5¹ × 2693¹ × 13469¹
LCM(53860,53876) = 725440340