What is the Least Common Multiple of 61808 and 61826?

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 61808 and 61826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61808 and 61826, than apply into the LCM equation.

GCF(61808,61826) = 2
LCM(61808,61826) = ( 61808 × 61826) / 2
LCM(61808,61826) = 3821341408 / 2
LCM(61808,61826) = 1910670704

Least Common Multiple (LCM) of 61808 and 61826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61808 and 61826. First we will calculate the prime factors of 61808 and 61826.

Prime Factorization of 61808

Prime Factorization of 61826

Now multiplying the highest exponent prime factors to calculate the LCM of 61808 and 61826.

LCM(61808,61826) = 2⁴ × 3863¹ × 19¹ × 1627¹
LCM(61808,61826) = 1910670704