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What is the Least Common Multiple of 64154 and 64170?

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 64154 and 64170 is 2058381090.

LCM(64154,64170) = 2058381090

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Least Common Multiple of 64154 and 64170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64154 and 64170, than apply into the LCM equation.

GCF(64154,64170) = 2
LCM(64154,64170) = ( 64154 × 64170) / 2
LCM(64154,64170) = 4116762180 / 2
LCM(64154,64170) = 2058381090

Least Common Multiple (LCM) of 64154 and 64170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64154 and 64170. First we will calculate the prime factors of 64154 and 64170.

Prime Factorization of 64154

Prime factors of 64154 are 2, 32077. Prime factorization of 64154 in exponential form is:

64154 = 21 × 320771

Prime Factorization of 64170

Prime factors of 64170 are 2, 3, 5, 23, 31. Prime factorization of 64170 in exponential form is:

64170 = 21 × 32 × 51 × 231 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 64154 and 64170.

LCM(64154,64170) = 21 × 320771 × 32 × 51 × 231 × 311
LCM(64154,64170) = 2058381090