What is the Least Common Multiple of 33202 and 33213?

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 33202 and 33213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33202 and 33213, than apply into the LCM equation.

GCF(33202,33213) = 1
LCM(33202,33213) = ( 33202 × 33213) / 1
LCM(33202,33213) = 1102738026 / 1
LCM(33202,33213) = 1102738026

Least Common Multiple (LCM) of 33202 and 33213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33202 and 33213. First we will calculate the prime factors of 33202 and 33213.

Prime Factorization of 33202

Prime Factorization of 33213

Now multiplying the highest exponent prime factors to calculate the LCM of 33202 and 33213.

LCM(33202,33213) = 2¹ × 13¹ × 1277¹ × 3¹ × 11071¹
LCM(33202,33213) = 1102738026