What is the Least Common Multiple of 65021 and 65033?

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 65021 and 65033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65021 and 65033, than apply into the LCM equation.

GCF(65021,65033) = 1
LCM(65021,65033) = ( 65021 × 65033) / 1
LCM(65021,65033) = 4228510693 / 1
LCM(65021,65033) = 4228510693

Least Common Multiple (LCM) of 65021 and 65033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65021 and 65033. First we will calculate the prime factors of 65021 and 65033.

Prime Factorization of 65021

Prime Factorization of 65033

Now multiplying the highest exponent prime factors to calculate the LCM of 65021 and 65033.

LCM(65021,65033) = 11¹ × 23¹ × 257¹ × 65033¹
LCM(65021,65033) = 4228510693