What is the Least Common Multiple of 83430 and 83438?

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 83430 and 83438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83430 and 83438, than apply into the LCM equation.

GCF(83430,83438) = 2
LCM(83430,83438) = ( 83430 × 83438) / 2
LCM(83430,83438) = 6961232340 / 2
LCM(83430,83438) = 3480616170

Least Common Multiple (LCM) of 83430 and 83438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83430 and 83438. First we will calculate the prime factors of 83430 and 83438.

Prime Factorization of 83430

Prime Factorization of 83438

Now multiplying the highest exponent prime factors to calculate the LCM of 83430 and 83438.

LCM(83430,83438) = 2¹ × 3⁴ × 5¹ × 103¹ × 41719¹
LCM(83430,83438) = 3480616170