What is the Least Common Multiple of 97328 and 97342?

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 97328 and 97342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97328 and 97342, than apply into the LCM equation.

GCF(97328,97342) = 14
LCM(97328,97342) = ( 97328 × 97342) / 14
LCM(97328,97342) = 9474102176 / 14
LCM(97328,97342) = 676721584

Least Common Multiple (LCM) of 97328 and 97342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97328 and 97342. First we will calculate the prime factors of 97328 and 97342.

Prime Factorization of 97328

Prime Factorization of 97342

Now multiplying the highest exponent prime factors to calculate the LCM of 97328 and 97342.

LCM(97328,97342) = 2⁴ × 7¹ × 11¹ × 79¹ × 17¹ × 409¹
LCM(97328,97342) = 676721584