What is the Least Common Multiple of 97834 and 97846?

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 97834 and 97846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97834 and 97846, than apply into the LCM equation.

GCF(97834,97846) = 2
LCM(97834,97846) = ( 97834 × 97846) / 2
LCM(97834,97846) = 9572665564 / 2
LCM(97834,97846) = 4786332782

Least Common Multiple (LCM) of 97834 and 97846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97834 and 97846. First we will calculate the prime factors of 97834 and 97846.

Prime Factorization of 97834

Prime Factorization of 97846

Now multiplying the highest exponent prime factors to calculate the LCM of 97834 and 97846.

LCM(97834,97846) = 2¹ × 11¹ × 4447¹ × 7¹ × 29¹ × 241¹
LCM(97834,97846) = 4786332782