What is the Least Common Multiple of 83454 and 83464?

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 83454 and 83464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83454 and 83464, than apply into the LCM equation.

GCF(83454,83464) = 2
LCM(83454,83464) = ( 83454 × 83464) / 2
LCM(83454,83464) = 6965404656 / 2
LCM(83454,83464) = 3482702328

Least Common Multiple (LCM) of 83454 and 83464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83454 and 83464. First we will calculate the prime factors of 83454 and 83464.

Prime Factorization of 83454

Prime Factorization of 83464

Now multiplying the highest exponent prime factors to calculate the LCM of 83454 and 83464.

LCM(83454,83464) = 2³ × 3¹ × 7¹ × 1987¹ × 10433¹
LCM(83454,83464) = 3482702328