What is the Least Common Multiple of 83414 and 83422?

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 83422 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 83422, than apply into the LCM equation.

GCF(83414,83422) = 2
LCM(83414,83422) = ( 83414 × 83422) / 2
LCM(83414,83422) = 6958562708 / 2
LCM(83414,83422) = 3479281354

Least Common Multiple (LCM) of 83414 and 83422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83414 and 83422. First we will calculate the prime factors of 83414 and 83422.

Prime Factorization of 83414

Prime Factorization of 83422

Now multiplying the highest exponent prime factors to calculate the LCM of 83414 and 83422.

LCM(83414,83422) = 2¹ × 179¹ × 233¹ × 53¹ × 787¹
LCM(83414,83422) = 3479281354