What is the Least Common Multiple of 36102 and 36108?

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 36108 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 36108, than apply into the LCM equation.

GCF(36102,36108) = 6
LCM(36102,36108) = ( 36102 × 36108) / 6
LCM(36102,36108) = 1303571016 / 6
LCM(36102,36108) = 217261836

Least Common Multiple (LCM) of 36102 and 36108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36102 and 36108. First we will calculate the prime factors of 36102 and 36108.

Prime Factorization of 36102

Prime Factorization of 36108

Now multiplying the highest exponent prime factors to calculate the LCM of 36102 and 36108.

LCM(36102,36108) = 2² × 3² × 11¹ × 547¹ × 17¹ × 59¹
LCM(36102,36108) = 217261836