What is the Least Common Multiple of 97412 and 97422?

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 97412 and 97422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97412 and 97422, than apply into the LCM equation.

GCF(97412,97422) = 2
LCM(97412,97422) = ( 97412 × 97422) / 2
LCM(97412,97422) = 9490071864 / 2
LCM(97412,97422) = 4745035932

Least Common Multiple (LCM) of 97412 and 97422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97412 and 97422. First we will calculate the prime factors of 97412 and 97422.

Prime Factorization of 97412

Prime Factorization of 97422

Now multiplying the highest exponent prime factors to calculate the LCM of 97412 and 97422.

LCM(97412,97422) = 2² × 7³ × 71¹ × 3¹ × 13¹ × 1249¹
LCM(97412,97422) = 4745035932