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What is the Least Common Multiple of 36097 and 36106?

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 36097 and 36106 is 1303318282.

LCM(36097,36106) = 1303318282

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Least Common Multiple of 36097 and 36106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36097 and 36106, than apply into the LCM equation.

GCF(36097,36106) = 1
LCM(36097,36106) = ( 36097 × 36106) / 1
LCM(36097,36106) = 1303318282 / 1
LCM(36097,36106) = 1303318282

Least Common Multiple (LCM) of 36097 and 36106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36097 and 36106. First we will calculate the prime factors of 36097 and 36106.

Prime Factorization of 36097

Prime factors of 36097 are 36097. Prime factorization of 36097 in exponential form is:

36097 = 360971

Prime Factorization of 36106

Prime factors of 36106 are 2, 7, 2579. Prime factorization of 36106 in exponential form is:

36106 = 21 × 71 × 25791

Now multiplying the highest exponent prime factors to calculate the LCM of 36097 and 36106.

LCM(36097,36106) = 360971 × 21 × 71 × 25791
LCM(36097,36106) = 1303318282