What is the Least Common Multiple of 53850 and 53870?

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 53850 and 53870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53850 and 53870, than apply into the LCM equation.

GCF(53850,53870) = 10
LCM(53850,53870) = ( 53850 × 53870) / 10
LCM(53850,53870) = 2900899500 / 10
LCM(53850,53870) = 290089950

Least Common Multiple (LCM) of 53850 and 53870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53850 and 53870. First we will calculate the prime factors of 53850 and 53870.

Prime Factorization of 53850

Prime Factorization of 53870

Now multiplying the highest exponent prime factors to calculate the LCM of 53850 and 53870.

LCM(53850,53870) = 2¹ × 3¹ × 5² × 359¹ × 5387¹
LCM(53850,53870) = 290089950