What is the Least Common Multiple of 97845 and 97851?

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 97845 and 97851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97845 and 97851, than apply into the LCM equation.

GCF(97845,97851) = 3
LCM(97845,97851) = ( 97845 × 97851) / 3
LCM(97845,97851) = 9574231095 / 3
LCM(97845,97851) = 3191410365

Least Common Multiple (LCM) of 97845 and 97851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97845 and 97851. First we will calculate the prime factors of 97845 and 97851.

Prime Factorization of 97845

Prime Factorization of 97851

Now multiplying the highest exponent prime factors to calculate the LCM of 97845 and 97851.

LCM(97845,97851) = 3¹ × 5¹ × 11¹ × 593¹ × 13² × 193¹
LCM(97845,97851) = 3191410365