What is the Least Common Multiple of 97345 and 97360?

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 97345 and 97360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97345 and 97360, than apply into the LCM equation.

GCF(97345,97360) = 5
LCM(97345,97360) = ( 97345 × 97360) / 5
LCM(97345,97360) = 9477509200 / 5
LCM(97345,97360) = 1895501840

Least Common Multiple (LCM) of 97345 and 97360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97345 and 97360. First we will calculate the prime factors of 97345 and 97360.

Prime Factorization of 97345

Prime Factorization of 97360

Now multiplying the highest exponent prime factors to calculate the LCM of 97345 and 97360.

LCM(97345,97360) = 5¹ × 19469¹ × 2⁴ × 1217¹
LCM(97345,97360) = 1895501840