What is the Least Common Multiple of 97850 and 97854?

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 97850 and 97854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97850 and 97854, than apply into the LCM equation.

GCF(97850,97854) = 2
LCM(97850,97854) = ( 97850 × 97854) / 2
LCM(97850,97854) = 9575013900 / 2
LCM(97850,97854) = 4787506950

Least Common Multiple (LCM) of 97850 and 97854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97850 and 97854. First we will calculate the prime factors of 97850 and 97854.

Prime Factorization of 97850

Prime Factorization of 97854

Now multiplying the highest exponent prime factors to calculate the LCM of 97850 and 97854.

LCM(97850,97854) = 2¹ × 5² × 19¹ × 103¹ × 3¹ × 47¹ × 347¹
LCM(97850,97854) = 4787506950