What is the Least Common Multiple of 59860 and 59872?

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 59860 and 59872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59860 and 59872, than apply into the LCM equation.

GCF(59860,59872) = 4
LCM(59860,59872) = ( 59860 × 59872) / 4
LCM(59860,59872) = 3583937920 / 4
LCM(59860,59872) = 895984480

Least Common Multiple (LCM) of 59860 and 59872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59860 and 59872. First we will calculate the prime factors of 59860 and 59872.

Prime Factorization of 59860

Prime Factorization of 59872

Now multiplying the highest exponent prime factors to calculate the LCM of 59860 and 59872.

LCM(59860,59872) = 2⁵ × 5¹ × 41¹ × 73¹ × 1871¹
LCM(59860,59872) = 895984480