What is the Least Common Multiple of 53019 and 53033?

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 53019 and 53033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53019 and 53033, than apply into the LCM equation.

GCF(53019,53033) = 1
LCM(53019,53033) = ( 53019 × 53033) / 1
LCM(53019,53033) = 2811756627 / 1
LCM(53019,53033) = 2811756627

Least Common Multiple (LCM) of 53019 and 53033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53019 and 53033. First we will calculate the prime factors of 53019 and 53033.

Prime Factorization of 53019

Prime Factorization of 53033

Now multiplying the highest exponent prime factors to calculate the LCM of 53019 and 53033.

LCM(53019,53033) = 3² × 43¹ × 137¹ × 181¹ × 293¹
LCM(53019,53033) = 2811756627