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What is the Least Common Multiple of 36065 and 36074?

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 36065 and 36074 is 1301008810.

LCM(36065,36074) = 1301008810

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Least Common Multiple of 36065 and 36074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36065 and 36074, than apply into the LCM equation.

GCF(36065,36074) = 1
LCM(36065,36074) = ( 36065 × 36074) / 1
LCM(36065,36074) = 1301008810 / 1
LCM(36065,36074) = 1301008810

Least Common Multiple (LCM) of 36065 and 36074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36065 and 36074. First we will calculate the prime factors of 36065 and 36074.

Prime Factorization of 36065

Prime factors of 36065 are 5, 7213. Prime factorization of 36065 in exponential form is:

36065 = 51 × 72131

Prime Factorization of 36074

Prime factors of 36074 are 2, 17, 1061. Prime factorization of 36074 in exponential form is:

36074 = 21 × 171 × 10611

Now multiplying the highest exponent prime factors to calculate the LCM of 36065 and 36074.

LCM(36065,36074) = 51 × 72131 × 21 × 171 × 10611
LCM(36065,36074) = 1301008810