What is the Least Common Multiple of 97580 and 97600?

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 97580 and 97600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97580 and 97600, than apply into the LCM equation.

GCF(97580,97600) = 20
LCM(97580,97600) = ( 97580 × 97600) / 20
LCM(97580,97600) = 9523808000 / 20
LCM(97580,97600) = 476190400

Least Common Multiple (LCM) of 97580 and 97600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97580 and 97600. First we will calculate the prime factors of 97580 and 97600.

Prime Factorization of 97580

Prime Factorization of 97600

Now multiplying the highest exponent prime factors to calculate the LCM of 97580 and 97600.

LCM(97580,97600) = 2⁶ × 5² × 7¹ × 17¹ × 41¹ × 61¹
LCM(97580,97600) = 476190400