What is the Least Common Multiple of 97560 and 97575?

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 97560 and 97575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97560 and 97575, than apply into the LCM equation.

GCF(97560,97575) = 15
LCM(97560,97575) = ( 97560 × 97575) / 15
LCM(97560,97575) = 9519417000 / 15
LCM(97560,97575) = 634627800

Least Common Multiple (LCM) of 97560 and 97575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97560 and 97575. First we will calculate the prime factors of 97560 and 97575.

Prime Factorization of 97560

Prime Factorization of 97575

Now multiplying the highest exponent prime factors to calculate the LCM of 97560 and 97575.

LCM(97560,97575) = 2³ × 3² × 5² × 271¹ × 1301¹
LCM(97560,97575) = 634627800