What is the Least Common Multiple of 83454 and 83470?

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 83470 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 83470, than apply into the LCM equation.

GCF(83454,83470) = 2
LCM(83454,83470) = ( 83454 × 83470) / 2
LCM(83454,83470) = 6965905380 / 2
LCM(83454,83470) = 3482952690

Least Common Multiple (LCM) of 83454 and 83470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83454 and 83470. First we will calculate the prime factors of 83454 and 83470.

Prime Factorization of 83454

Prime Factorization of 83470

Now multiplying the highest exponent prime factors to calculate the LCM of 83454 and 83470.

LCM(83454,83470) = 2¹ × 3¹ × 7¹ × 1987¹ × 5¹ × 17¹ × 491¹
LCM(83454,83470) = 3482952690