What is the Least Common Multiple of 61874 and 61892?

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 61892 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 61892, than apply into the LCM equation.

GCF(61874,61892) = 2
LCM(61874,61892) = ( 61874 × 61892) / 2
LCM(61874,61892) = 3829505608 / 2
LCM(61874,61892) = 1914752804

Least Common Multiple (LCM) of 61874 and 61892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61874 and 61892. First we will calculate the prime factors of 61874 and 61892.

Prime Factorization of 61874

Prime Factorization of 61892

Now multiplying the highest exponent prime factors to calculate the LCM of 61874 and 61892.

LCM(61874,61892) = 2² × 30937¹ × 15473¹
LCM(61874,61892) = 1914752804