What is the Least Common Multiple of 97665 and 97680?

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 97665 and 97680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97665 and 97680, than apply into the LCM equation.

GCF(97665,97680) = 15
LCM(97665,97680) = ( 97665 × 97680) / 15
LCM(97665,97680) = 9539917200 / 15
LCM(97665,97680) = 635994480

Least Common Multiple (LCM) of 97665 and 97680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97665 and 97680. First we will calculate the prime factors of 97665 and 97680.

Prime Factorization of 97665

Prime Factorization of 97680

Now multiplying the highest exponent prime factors to calculate the LCM of 97665 and 97680.

LCM(97665,97680) = 3¹ × 5¹ × 17¹ × 383¹ × 2⁴ × 11¹ × 37¹
LCM(97665,97680) = 635994480