What is the Least Common Multiple of 93850 and 93862?

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 93850 and 93862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93850 and 93862, than apply into the LCM equation.

GCF(93850,93862) = 2
LCM(93850,93862) = ( 93850 × 93862) / 2
LCM(93850,93862) = 8808948700 / 2
LCM(93850,93862) = 4404474350

Least Common Multiple (LCM) of 93850 and 93862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93850 and 93862. First we will calculate the prime factors of 93850 and 93862.

Prime Factorization of 93850

Prime Factorization of 93862

Now multiplying the highest exponent prime factors to calculate the LCM of 93850 and 93862.

LCM(93850,93862) = 2¹ × 5² × 1877¹ × 71¹ × 661¹
LCM(93850,93862) = 4404474350