What is the Least Common Multiple of 61874 and 61883?

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 61874 and 61883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61874 and 61883, than apply into the LCM equation.

GCF(61874,61883) = 1
LCM(61874,61883) = ( 61874 × 61883) / 1
LCM(61874,61883) = 3828948742 / 1
LCM(61874,61883) = 3828948742

Least Common Multiple (LCM) of 61874 and 61883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61874 and 61883. First we will calculate the prime factors of 61874 and 61883.

Prime Factorization of 61874

Prime Factorization of 61883

Now multiplying the highest exponent prime factors to calculate the LCM of 61874 and 61883.

LCM(61874,61883) = 2¹ × 30937¹ × 19¹ × 3257¹
LCM(61874,61883) = 3828948742