What is the Least Common Multiple of 59017 and 59033?

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 59017 and 59033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59017 and 59033, than apply into the LCM equation.

GCF(59017,59033) = 1
LCM(59017,59033) = ( 59017 × 59033) / 1
LCM(59017,59033) = 3483950561 / 1
LCM(59017,59033) = 3483950561

Least Common Multiple (LCM) of 59017 and 59033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59017 and 59033. First we will calculate the prime factors of 59017 and 59033.

Prime Factorization of 59017

Prime Factorization of 59033

Now multiplying the highest exponent prime factors to calculate the LCM of 59017 and 59033.

LCM(59017,59033) = 7¹ × 8431¹ × 13¹ × 19¹ × 239¹
LCM(59017,59033) = 3483950561