What is the Least Common Multiple of 59865 and 59880?

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 59865 and 59880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59865 and 59880, than apply into the LCM equation.

GCF(59865,59880) = 15
LCM(59865,59880) = ( 59865 × 59880) / 15
LCM(59865,59880) = 3584716200 / 15
LCM(59865,59880) = 238981080

Least Common Multiple (LCM) of 59865 and 59880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59865 and 59880. First we will calculate the prime factors of 59865 and 59880.

Prime Factorization of 59865

Prime Factorization of 59880

Now multiplying the highest exponent prime factors to calculate the LCM of 59865 and 59880.

LCM(59865,59880) = 3¹ × 5¹ × 13¹ × 307¹ × 2³ × 499¹
LCM(59865,59880) = 238981080