GCF and LCM Calculator Logo

What is the Least Common Multiple of 93830 and 93850?

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 (LCM) of 93830 and 93850 is 880594550.

LCM(93830,93850) = 880594550

LCM Calculator and
and

Least Common Multiple of 93830 and 93850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93830 and 93850, than apply into the LCM equation.

GCF(93830,93850) = 10
LCM(93830,93850) = ( 93830 × 93850) / 10
LCM(93830,93850) = 8805945500 / 10
LCM(93830,93850) = 880594550

Least Common Multiple (LCM) of 93830 and 93850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93830 and 93850. First we will calculate the prime factors of 93830 and 93850.

Prime Factorization of 93830

Prime factors of 93830 are 2, 5, 11, 853. Prime factorization of 93830 in exponential form is:

93830 = 21 × 51 × 111 × 8531

Prime Factorization of 93850

Prime factors of 93850 are 2, 5, 1877. Prime factorization of 93850 in exponential form is:

93850 = 21 × 52 × 18771

Now multiplying the highest exponent prime factors to calculate the LCM of 93830 and 93850.

LCM(93830,93850) = 21 × 52 × 111 × 8531 × 18771
LCM(93830,93850) = 880594550