What is the Least Common Multiple of 61792 and 61798?

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 61792 and 61798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61792 and 61798, than apply into the LCM equation.

GCF(61792,61798) = 2
LCM(61792,61798) = ( 61792 × 61798) / 2
LCM(61792,61798) = 3818622016 / 2
LCM(61792,61798) = 1909311008

Least Common Multiple (LCM) of 61792 and 61798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61792 and 61798. First we will calculate the prime factors of 61792 and 61798.

Prime Factorization of 61792

Prime Factorization of 61798

Now multiplying the highest exponent prime factors to calculate the LCM of 61792 and 61798.

LCM(61792,61798) = 2⁵ × 1931¹ × 11¹ × 53²
LCM(61792,61798) = 1909311008