What is the Least Common Multiple of 9850 and 9854?

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 9850 and 9854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9850 and 9854, than apply into the LCM equation.

GCF(9850,9854) = 2
LCM(9850,9854) = ( 9850 × 9854) / 2
LCM(9850,9854) = 97061900 / 2
LCM(9850,9854) = 48530950

Least Common Multiple (LCM) of 9850 and 9854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9850 and 9854. First we will calculate the prime factors of 9850 and 9854.

Prime Factorization of 9850

Prime Factorization of 9854

Now multiplying the highest exponent prime factors to calculate the LCM of 9850 and 9854.

LCM(9850,9854) = 2¹ × 5² × 197¹ × 13¹ × 379¹
LCM(9850,9854) = 48530950