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What is the Least Common Multiple of 36161 and 36170?

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 36161 and 36170 is 1307943370.

LCM(36161,36170) = 1307943370

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Least Common Multiple of 36161 and 36170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36161 and 36170, than apply into the LCM equation.

GCF(36161,36170) = 1
LCM(36161,36170) = ( 36161 × 36170) / 1
LCM(36161,36170) = 1307943370 / 1
LCM(36161,36170) = 1307943370

Least Common Multiple (LCM) of 36161 and 36170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36161 and 36170. First we will calculate the prime factors of 36161 and 36170.

Prime Factorization of 36161

Prime factors of 36161 are 36161. Prime factorization of 36161 in exponential form is:

36161 = 361611

Prime Factorization of 36170

Prime factors of 36170 are 2, 5, 3617. Prime factorization of 36170 in exponential form is:

36170 = 21 × 51 × 36171

Now multiplying the highest exponent prime factors to calculate the LCM of 36161 and 36170.

LCM(36161,36170) = 361611 × 21 × 51 × 36171
LCM(36161,36170) = 1307943370