What is the Least Common Multiple of 69850 and 69870?

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 69850 and 69870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69850 and 69870, than apply into the LCM equation.

GCF(69850,69870) = 10
LCM(69850,69870) = ( 69850 × 69870) / 10
LCM(69850,69870) = 4880419500 / 10
LCM(69850,69870) = 488041950

Least Common Multiple (LCM) of 69850 and 69870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69850 and 69870. First we will calculate the prime factors of 69850 and 69870.

Prime Factorization of 69850

Prime Factorization of 69870

Now multiplying the highest exponent prime factors to calculate the LCM of 69850 and 69870.

LCM(69850,69870) = 2¹ × 5² × 11¹ × 127¹ × 3¹ × 17¹ × 137¹
LCM(69850,69870) = 488041950