What is the Least Common Multiple of 97314 and 97328?

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 97314 and 97328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97314 and 97328, than apply into the LCM equation.

GCF(97314,97328) = 14
LCM(97314,97328) = ( 97314 × 97328) / 14
LCM(97314,97328) = 9471376992 / 14
LCM(97314,97328) = 676526928

Least Common Multiple (LCM) of 97314 and 97328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97314 and 97328. First we will calculate the prime factors of 97314 and 97328.

Prime Factorization of 97314

Prime Factorization of 97328

Now multiplying the highest exponent prime factors to calculate the LCM of 97314 and 97328.

LCM(97314,97328) = 2⁴ × 3¹ × 7² × 331¹ × 11¹ × 79¹
LCM(97314,97328) = 676526928