What is the Least Common Multiple of 84954 and 84961?

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 84954 and 84961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84954 and 84961, than apply into the LCM equation.

GCF(84954,84961) = 1
LCM(84954,84961) = ( 84954 × 84961) / 1
LCM(84954,84961) = 7217776794 / 1
LCM(84954,84961) = 7217776794

Least Common Multiple (LCM) of 84954 and 84961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84954 and 84961. First we will calculate the prime factors of 84954 and 84961.

Prime Factorization of 84954

Prime Factorization of 84961

Now multiplying the highest exponent prime factors to calculate the LCM of 84954 and 84961.

LCM(84954,84961) = 2¹ × 3¹ × 14159¹ × 84961¹
LCM(84954,84961) = 7217776794