What is the Least Common Multiple of 56835 and 56851?

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 56835 and 56851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56835 and 56851, than apply into the LCM equation.

GCF(56835,56851) = 1
LCM(56835,56851) = ( 56835 × 56851) / 1
LCM(56835,56851) = 3231126585 / 1
LCM(56835,56851) = 3231126585

Least Common Multiple (LCM) of 56835 and 56851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56835 and 56851. First we will calculate the prime factors of 56835 and 56851.

Prime Factorization of 56835

Prime Factorization of 56851

Now multiplying the highest exponent prime factors to calculate the LCM of 56835 and 56851.

LCM(56835,56851) = 3³ × 5¹ × 421¹ × 139¹ × 409¹
LCM(56835,56851) = 3231126585