What is the Least Common Multiple of 97846 and 97853?

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 97846 and 97853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97846 and 97853, than apply into the LCM equation.

GCF(97846,97853) = 7
LCM(97846,97853) = ( 97846 × 97853) / 7
LCM(97846,97853) = 9574524638 / 7
LCM(97846,97853) = 1367789234

Least Common Multiple (LCM) of 97846 and 97853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97846 and 97853. First we will calculate the prime factors of 97846 and 97853.

Prime Factorization of 97846

Prime Factorization of 97853

Now multiplying the highest exponent prime factors to calculate the LCM of 97846 and 97853.

LCM(97846,97853) = 2¹ × 7² × 29¹ × 241¹ × 1997¹
LCM(97846,97853) = 1367789234