What is the Least Common Multiple of 83678 and 83688?

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 83688 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 83688, than apply into the LCM equation.

GCF(83678,83688) = 2
LCM(83678,83688) = ( 83678 × 83688) / 2
LCM(83678,83688) = 7002844464 / 2
LCM(83678,83688) = 3501422232

Least Common Multiple (LCM) of 83678 and 83688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83678 and 83688. First we will calculate the prime factors of 83678 and 83688.

Prime Factorization of 83678

Prime Factorization of 83688

Now multiplying the highest exponent prime factors to calculate the LCM of 83678 and 83688.

LCM(83678,83688) = 2³ × 7¹ × 43¹ × 139¹ × 3¹ × 11¹ × 317¹
LCM(83678,83688) = 3501422232