What is the Least Common Multiple of 36086 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 36086 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 36086 and 36102, than apply into the LCM equation.

GCF(36086,36102) = 2
LCM(36086,36102) = ( 36086 × 36102) / 2
LCM(36086,36102) = 1302776772 / 2
LCM(36086,36102) = 651388386

Least Common Multiple (LCM) of 36086 and 36102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36086 and 36102. First we will calculate the prime factors of 36086 and 36102.

Prime Factorization of 36086

Prime Factorization of 36102

Now multiplying the highest exponent prime factors to calculate the LCM of 36086 and 36102.

LCM(36086,36102) = 2¹ × 18043¹ × 3¹ × 11¹ × 547¹
LCM(36086,36102) = 651388386