What is the Least Common Multiple of 83414 and 83424?

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 83414 and 83424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83414 and 83424, than apply into the LCM equation.

GCF(83414,83424) = 2
LCM(83414,83424) = ( 83414 × 83424) / 2
LCM(83414,83424) = 6958729536 / 2
LCM(83414,83424) = 3479364768

Least Common Multiple (LCM) of 83414 and 83424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83414 and 83424. First we will calculate the prime factors of 83414 and 83424.

Prime Factorization of 83414

Prime Factorization of 83424

Now multiplying the highest exponent prime factors to calculate the LCM of 83414 and 83424.

LCM(83414,83424) = 2⁵ × 179¹ × 233¹ × 3¹ × 11¹ × 79¹
LCM(83414,83424) = 3479364768