What is the Least Common Multiple of 97342 and 97354?

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 97342 and 97354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97342 and 97354, than apply into the LCM equation.

GCF(97342,97354) = 2
LCM(97342,97354) = ( 97342 × 97354) / 2
LCM(97342,97354) = 9476633068 / 2
LCM(97342,97354) = 4738316534

Least Common Multiple (LCM) of 97342 and 97354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97342 and 97354. First we will calculate the prime factors of 97342 and 97354.

Prime Factorization of 97342

Prime Factorization of 97354

Now multiplying the highest exponent prime factors to calculate the LCM of 97342 and 97354.

LCM(97342,97354) = 2¹ × 7¹ × 17¹ × 409¹ × 48677¹
LCM(97342,97354) = 4738316534