What is the Least Common Multiple of 97785 and 97790?

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 97785 and 97790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97785 and 97790, than apply into the LCM equation.

GCF(97785,97790) = 5
LCM(97785,97790) = ( 97785 × 97790) / 5
LCM(97785,97790) = 9562395150 / 5
LCM(97785,97790) = 1912479030

Least Common Multiple (LCM) of 97785 and 97790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97785 and 97790. First we will calculate the prime factors of 97785 and 97790.

Prime Factorization of 97785

Prime Factorization of 97790

Now multiplying the highest exponent prime factors to calculate the LCM of 97785 and 97790.

LCM(97785,97790) = 3² × 5¹ × 41¹ × 53¹ × 2¹ × 7¹ × 11¹ × 127¹
LCM(97785,97790) = 1912479030