What is the Least Common Multiple of 84594 and 84614?

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 84594 and 84614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84594 and 84614, than apply into the LCM equation.

GCF(84594,84614) = 2
LCM(84594,84614) = ( 84594 × 84614) / 2
LCM(84594,84614) = 7157836716 / 2
LCM(84594,84614) = 3578918358

Least Common Multiple (LCM) of 84594 and 84614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84594 and 84614. First we will calculate the prime factors of 84594 and 84614.

Prime Factorization of 84594

Prime Factorization of 84614

Now multiplying the highest exponent prime factors to calculate the LCM of 84594 and 84614.

LCM(84594,84614) = 2¹ × 3¹ × 23¹ × 613¹ × 42307¹
LCM(84594,84614) = 3578918358