What is the Least Common Multiple of 61833 and 61846?

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 61833 and 61846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61833 and 61846, than apply into the LCM equation.

GCF(61833,61846) = 1
LCM(61833,61846) = ( 61833 × 61846) / 1
LCM(61833,61846) = 3824123718 / 1
LCM(61833,61846) = 3824123718

Least Common Multiple (LCM) of 61833 and 61846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61833 and 61846. First we will calculate the prime factors of 61833 and 61846.

Prime Factorization of 61833

Prime Factorization of 61846

Now multiplying the highest exponent prime factors to calculate the LCM of 61833 and 61846.

LCM(61833,61846) = 3¹ × 20611¹ × 2¹ × 17² × 107¹
LCM(61833,61846) = 3824123718