What is the Least Common Multiple of 59869 and 59888?

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 59869 and 59888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59869 and 59888, than apply into the LCM equation.

GCF(59869,59888) = 19
LCM(59869,59888) = ( 59869 × 59888) / 19
LCM(59869,59888) = 3585434672 / 19
LCM(59869,59888) = 188707088

Least Common Multiple (LCM) of 59869 and 59888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59869 and 59888. First we will calculate the prime factors of 59869 and 59888.

Prime Factorization of 59869

Prime Factorization of 59888

Now multiplying the highest exponent prime factors to calculate the LCM of 59869 and 59888.

LCM(59869,59888) = 19¹ × 23¹ × 137¹ × 2⁴ × 197¹
LCM(59869,59888) = 188707088