What is the Least Common Multiple of 83630 and 83638?

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 83630 and 83638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83630 and 83638, than apply into the LCM equation.

GCF(83630,83638) = 2
LCM(83630,83638) = ( 83630 × 83638) / 2
LCM(83630,83638) = 6994645940 / 2
LCM(83630,83638) = 3497322970

Least Common Multiple (LCM) of 83630 and 83638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83630 and 83638. First we will calculate the prime factors of 83630 and 83638.

Prime Factorization of 83630

Prime Factorization of 83638

Now multiplying the highest exponent prime factors to calculate the LCM of 83630 and 83638.

LCM(83630,83638) = 2¹ × 5¹ × 8363¹ × 19¹ × 31¹ × 71¹
LCM(83630,83638) = 3497322970