What is the Least Common Multiple of 35850 and 35870?

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 35850 and 35870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35850 and 35870, than apply into the LCM equation.

GCF(35850,35870) = 10
LCM(35850,35870) = ( 35850 × 35870) / 10
LCM(35850,35870) = 1285939500 / 10
LCM(35850,35870) = 128593950

Least Common Multiple (LCM) of 35850 and 35870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35850 and 35870. First we will calculate the prime factors of 35850 and 35870.

Prime Factorization of 35850

Prime Factorization of 35870

Now multiplying the highest exponent prime factors to calculate the LCM of 35850 and 35870.

LCM(35850,35870) = 2¹ × 3¹ × 5² × 239¹ × 17¹ × 211¹
LCM(35850,35870) = 128593950