What is the Least Common Multiple of 84914 and 84921?

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 84914 and 84921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84914 and 84921, than apply into the LCM equation.

GCF(84914,84921) = 1
LCM(84914,84921) = ( 84914 × 84921) / 1
LCM(84914,84921) = 7210981794 / 1
LCM(84914,84921) = 7210981794

Least Common Multiple (LCM) of 84914 and 84921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84914 and 84921. First we will calculate the prime factors of 84914 and 84921.

Prime Factorization of 84914

Prime Factorization of 84921

Now multiplying the highest exponent prime factors to calculate the LCM of 84914 and 84921.

LCM(84914,84921) = 2¹ × 42457¹ × 3¹ × 28307¹
LCM(84914,84921) = 7210981794