What is the Least Common Multiple of 96790 and 96797?

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 96790 and 96797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96790 and 96797, than apply into the LCM equation.

GCF(96790,96797) = 1
LCM(96790,96797) = ( 96790 × 96797) / 1
LCM(96790,96797) = 9368981630 / 1
LCM(96790,96797) = 9368981630

Least Common Multiple (LCM) of 96790 and 96797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96790 and 96797. First we will calculate the prime factors of 96790 and 96797.

Prime Factorization of 96790

Prime Factorization of 96797

Now multiplying the highest exponent prime factors to calculate the LCM of 96790 and 96797.

LCM(96790,96797) = 2¹ × 5¹ × 9679¹ × 96797¹
LCM(96790,96797) = 9368981630