What is the Least Common Multiple of 55839 and 55847?

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 55839 and 55847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55839 and 55847, than apply into the LCM equation.

GCF(55839,55847) = 1
LCM(55839,55847) = ( 55839 × 55847) / 1
LCM(55839,55847) = 3118440633 / 1
LCM(55839,55847) = 3118440633

Least Common Multiple (LCM) of 55839 and 55847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55839 and 55847. First we will calculate the prime factors of 55839 and 55847.

Prime Factorization of 55839

Prime Factorization of 55847

Now multiplying the highest exponent prime factors to calculate the LCM of 55839 and 55847.

LCM(55839,55847) = 3¹ × 7¹ × 2659¹ × 11¹ × 5077¹
LCM(55839,55847) = 3118440633