What is the Least Common Multiple of 83608 and 83614?

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 83608 and 83614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83608 and 83614, than apply into the LCM equation.

GCF(83608,83614) = 2
LCM(83608,83614) = ( 83608 × 83614) / 2
LCM(83608,83614) = 6990799312 / 2
LCM(83608,83614) = 3495399656

Least Common Multiple (LCM) of 83608 and 83614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83608 and 83614. First we will calculate the prime factors of 83608 and 83614.

Prime Factorization of 83608

Prime Factorization of 83614

Now multiplying the highest exponent prime factors to calculate the LCM of 83608 and 83614.

LCM(83608,83614) = 2³ × 7¹ × 1493¹ × 97¹ × 431¹
LCM(83608,83614) = 3495399656