What is the Least Common Multiple of 69880 and 69889?

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 69880 and 69889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69880 and 69889, than apply into the LCM equation.

GCF(69880,69889) = 1
LCM(69880,69889) = ( 69880 × 69889) / 1
LCM(69880,69889) = 4883843320 / 1
LCM(69880,69889) = 4883843320

Least Common Multiple (LCM) of 69880 and 69889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69880 and 69889. First we will calculate the prime factors of 69880 and 69889.

Prime Factorization of 69880

Prime Factorization of 69889

Now multiplying the highest exponent prime factors to calculate the LCM of 69880 and 69889.

LCM(69880,69889) = 2³ × 5¹ × 1747¹ × 47¹ × 1487¹
LCM(69880,69889) = 4883843320