What is the Least Common Multiple of 97408 and 97426?

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 97408 and 97426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97408 and 97426, than apply into the LCM equation.

GCF(97408,97426) = 2
LCM(97408,97426) = ( 97408 × 97426) / 2
LCM(97408,97426) = 9490071808 / 2
LCM(97408,97426) = 4745035904

Least Common Multiple (LCM) of 97408 and 97426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97408 and 97426. First we will calculate the prime factors of 97408 and 97426.

Prime Factorization of 97408

Prime Factorization of 97426

Now multiplying the highest exponent prime factors to calculate the LCM of 97408 and 97426.

LCM(97408,97426) = 2⁷ × 761¹ × 7¹ × 6959¹
LCM(97408,97426) = 4745035904