What is the Least Common Multiple of 97440 and 97445?

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 97440 and 97445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97440 and 97445, than apply into the LCM equation.

GCF(97440,97445) = 5
LCM(97440,97445) = ( 97440 × 97445) / 5
LCM(97440,97445) = 9495040800 / 5
LCM(97440,97445) = 1899008160

Least Common Multiple (LCM) of 97440 and 97445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97440 and 97445. First we will calculate the prime factors of 97440 and 97445.

Prime Factorization of 97440

Prime Factorization of 97445

Now multiplying the highest exponent prime factors to calculate the LCM of 97440 and 97445.

LCM(97440,97445) = 2⁵ × 3¹ × 5¹ × 7¹ × 29¹ × 19489¹
LCM(97440,97445) = 1899008160