What is the Least Common Multiple of 59895 and 59909?

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 59895 and 59909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59895 and 59909, than apply into the LCM equation.

GCF(59895,59909) = 1
LCM(59895,59909) = ( 59895 × 59909) / 1
LCM(59895,59909) = 3588249555 / 1
LCM(59895,59909) = 3588249555

Least Common Multiple (LCM) of 59895 and 59909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59895 and 59909. First we will calculate the prime factors of 59895 and 59909.

Prime Factorization of 59895

Prime Factorization of 59909

Now multiplying the highest exponent prime factors to calculate the LCM of 59895 and 59909.

LCM(59895,59909) = 3² × 5¹ × 11³ × 139¹ × 431¹
LCM(59895,59909) = 3588249555