What is the Least Common Multiple of 83678 and 83693?

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 83693 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 83693, than apply into the LCM equation.

GCF(83678,83693) = 1
LCM(83678,83693) = ( 83678 × 83693) / 1
LCM(83678,83693) = 7003262854 / 1
LCM(83678,83693) = 7003262854

Least Common Multiple (LCM) of 83678 and 83693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83678 and 83693. First we will calculate the prime factors of 83678 and 83693.

Prime Factorization of 83678

Prime Factorization of 83693

Now multiplying the highest exponent prime factors to calculate the LCM of 83678 and 83693.

LCM(83678,83693) = 2¹ × 7¹ × 43¹ × 139¹ × 127¹ × 659¹
LCM(83678,83693) = 7003262854