What is the Least Common Multiple of 59876 and 59883?

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 59876 and 59883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59876 and 59883, than apply into the LCM equation.

GCF(59876,59883) = 1
LCM(59876,59883) = ( 59876 × 59883) / 1
LCM(59876,59883) = 3585554508 / 1
LCM(59876,59883) = 3585554508

Least Common Multiple (LCM) of 59876 and 59883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59876 and 59883. First we will calculate the prime factors of 59876 and 59883.

Prime Factorization of 59876

Prime Factorization of 59883

Now multiplying the highest exponent prime factors to calculate the LCM of 59876 and 59883.

LCM(59876,59883) = 2² × 14969¹ × 3¹ × 19961¹
LCM(59876,59883) = 3585554508