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What is the Least Common Multiple of 36102 and 36116?

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 (LCM) of 36102 and 36116 is 651929916.

LCM(36102,36116) = 651929916

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Least Common Multiple of 36102 and 36116 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 36116, than apply into the LCM equation.

GCF(36102,36116) = 2
LCM(36102,36116) = ( 36102 × 36116) / 2
LCM(36102,36116) = 1303859832 / 2
LCM(36102,36116) = 651929916

Least Common Multiple (LCM) of 36102 and 36116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36102 and 36116. First we will calculate the prime factors of 36102 and 36116.

Prime Factorization of 36102

Prime factors of 36102 are 2, 3, 11, 547. Prime factorization of 36102 in exponential form is:

36102 = 21 × 31 × 111 × 5471

Prime Factorization of 36116

Prime factors of 36116 are 2, 9029. Prime factorization of 36116 in exponential form is:

36116 = 22 × 90291

Now multiplying the highest exponent prime factors to calculate the LCM of 36102 and 36116.

LCM(36102,36116) = 22 × 31 × 111 × 5471 × 90291
LCM(36102,36116) = 651929916