What is the Least Common Multiple of 59857 and 59869?

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 59857 and 59869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59857 and 59869, than apply into the LCM equation.

GCF(59857,59869) = 1
LCM(59857,59869) = ( 59857 × 59869) / 1
LCM(59857,59869) = 3583578733 / 1
LCM(59857,59869) = 3583578733

Least Common Multiple (LCM) of 59857 and 59869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59857 and 59869. First we will calculate the prime factors of 59857 and 59869.

Prime Factorization of 59857

Prime Factorization of 59869

Now multiplying the highest exponent prime factors to calculate the LCM of 59857 and 59869.

LCM(59857,59869) = 7¹ × 17¹ × 503¹ × 19¹ × 23¹ × 137¹
LCM(59857,59869) = 3583578733