What is the Least Common Multiple of 97578 and 97594?

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 97578 and 97594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97578 and 97594, than apply into the LCM equation.

GCF(97578,97594) = 2
LCM(97578,97594) = ( 97578 × 97594) / 2
LCM(97578,97594) = 9523027332 / 2
LCM(97578,97594) = 4761513666

Least Common Multiple (LCM) of 97578 and 97594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97578 and 97594. First we will calculate the prime factors of 97578 and 97594.

Prime Factorization of 97578

Prime Factorization of 97594

Now multiplying the highest exponent prime factors to calculate the LCM of 97578 and 97594.

LCM(97578,97594) = 2¹ × 3³ × 13¹ × 139¹ × 7¹ × 6971¹
LCM(97578,97594) = 4761513666