What is the Least Common Multiple of 97056 and 97065?

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 97056 and 97065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97056 and 97065, than apply into the LCM equation.

GCF(97056,97065) = 9
LCM(97056,97065) = ( 97056 × 97065) / 9
LCM(97056,97065) = 9420740640 / 9
LCM(97056,97065) = 1046748960

Least Common Multiple (LCM) of 97056 and 97065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97056 and 97065. First we will calculate the prime factors of 97056 and 97065.

Prime Factorization of 97056

Prime Factorization of 97065

Now multiplying the highest exponent prime factors to calculate the LCM of 97056 and 97065.

LCM(97056,97065) = 2⁵ × 3³ × 337¹ × 5¹ × 719¹
LCM(97056,97065) = 1046748960