What is the Least Common Multiple of 36102 and 36122?

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 36102 and 36122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36102 and 36122, than apply into the LCM equation.

GCF(36102,36122) = 2
LCM(36102,36122) = ( 36102 × 36122) / 2
LCM(36102,36122) = 1304076444 / 2
LCM(36102,36122) = 652038222

Least Common Multiple (LCM) of 36102 and 36122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36102 and 36122. First we will calculate the prime factors of 36102 and 36122.

Prime Factorization of 36102

Prime Factorization of 36122

Now multiplying the highest exponent prime factors to calculate the LCM of 36102 and 36122.

LCM(36102,36122) = 2¹ × 3¹ × 11¹ × 547¹ × 18061¹
LCM(36102,36122) = 652038222