What is the Least Common Multiple of 97854 and 97868?

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 97854 and 97868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97854 and 97868, than apply into the LCM equation.

GCF(97854,97868) = 2
LCM(97854,97868) = ( 97854 × 97868) / 2
LCM(97854,97868) = 9576775272 / 2
LCM(97854,97868) = 4788387636

Least Common Multiple (LCM) of 97854 and 97868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97854 and 97868. First we will calculate the prime factors of 97854 and 97868.

Prime Factorization of 97854

Prime Factorization of 97868

Now multiplying the highest exponent prime factors to calculate the LCM of 97854 and 97868.

LCM(97854,97868) = 2² × 3¹ × 47¹ × 347¹ × 43¹ × 569¹
LCM(97854,97868) = 4788387636