What is the Least Common Multiple of 83678 and 83684?

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 83678 and 83684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83678 and 83684, than apply into the LCM equation.

GCF(83678,83684) = 2
LCM(83678,83684) = ( 83678 × 83684) / 2
LCM(83678,83684) = 7002509752 / 2
LCM(83678,83684) = 3501254876

Least Common Multiple (LCM) of 83678 and 83684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83678 and 83684. First we will calculate the prime factors of 83678 and 83684.

Prime Factorization of 83678

Prime Factorization of 83684

Now multiplying the highest exponent prime factors to calculate the LCM of 83678 and 83684.

LCM(83678,83684) = 2² × 7¹ × 43¹ × 139¹ × 20921¹
LCM(83678,83684) = 3501254876