What is the Least Common Multiple of 93800 and 93814?

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 93800 and 93814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93800 and 93814, than apply into the LCM equation.

GCF(93800,93814) = 14
LCM(93800,93814) = ( 93800 × 93814) / 14
LCM(93800,93814) = 8799753200 / 14
LCM(93800,93814) = 628553800

Least Common Multiple (LCM) of 93800 and 93814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93800 and 93814. First we will calculate the prime factors of 93800 and 93814.

Prime Factorization of 93800

Prime Factorization of 93814

Now multiplying the highest exponent prime factors to calculate the LCM of 93800 and 93814.

LCM(93800,93814) = 2³ × 5² × 7¹ × 67¹ × 6701¹
LCM(93800,93814) = 628553800