What is the Least Common Multiple of 61823 and 61842?

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 61823 and 61842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61823 and 61842, than apply into the LCM equation.

GCF(61823,61842) = 1
LCM(61823,61842) = ( 61823 × 61842) / 1
LCM(61823,61842) = 3823257966 / 1
LCM(61823,61842) = 3823257966

Least Common Multiple (LCM) of 61823 and 61842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61823 and 61842. First we will calculate the prime factors of 61823 and 61842.

Prime Factorization of 61823

Prime Factorization of 61842

Now multiplying the highest exponent prime factors to calculate the LCM of 61823 and 61842.

LCM(61823,61842) = 211¹ × 293¹ × 2¹ × 3¹ × 11¹ × 937¹
LCM(61823,61842) = 3823257966