What is the Least Common Multiple of 83670 and 83678?

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 83670 and 83678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83670 and 83678, than apply into the LCM equation.

GCF(83670,83678) = 2
LCM(83670,83678) = ( 83670 × 83678) / 2
LCM(83670,83678) = 7001338260 / 2
LCM(83670,83678) = 3500669130

Least Common Multiple (LCM) of 83670 and 83678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83670 and 83678. First we will calculate the prime factors of 83670 and 83678.

Prime Factorization of 83670

Prime Factorization of 83678

Now multiplying the highest exponent prime factors to calculate the LCM of 83670 and 83678.

LCM(83670,83678) = 2¹ × 3¹ × 5¹ × 2789¹ × 7¹ × 43¹ × 139¹
LCM(83670,83678) = 3500669130