What is the Least Common Multiple of 36083 and 36102?

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 36083 and 36102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36083 and 36102, than apply into the LCM equation.

GCF(36083,36102) = 1
LCM(36083,36102) = ( 36083 × 36102) / 1
LCM(36083,36102) = 1302668466 / 1
LCM(36083,36102) = 1302668466

Least Common Multiple (LCM) of 36083 and 36102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36083 and 36102. First we will calculate the prime factors of 36083 and 36102.

Prime Factorization of 36083

Prime Factorization of 36102

Now multiplying the highest exponent prime factors to calculate the LCM of 36083 and 36102.

LCM(36083,36102) = 36083¹ × 2¹ × 3¹ × 11¹ × 547¹
LCM(36083,36102) = 1302668466