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What is the Least Common Multiple of 64089 and 64100?

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 64089 and 64100 is 4108104900.

LCM(64089,64100) = 4108104900

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Least Common Multiple of 64089 and 64100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64089 and 64100, than apply into the LCM equation.

GCF(64089,64100) = 1
LCM(64089,64100) = ( 64089 × 64100) / 1
LCM(64089,64100) = 4108104900 / 1
LCM(64089,64100) = 4108104900

Least Common Multiple (LCM) of 64089 and 64100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64089 and 64100. First we will calculate the prime factors of 64089 and 64100.

Prime Factorization of 64089

Prime factors of 64089 are 3, 7121. Prime factorization of 64089 in exponential form is:

64089 = 32 × 71211

Prime Factorization of 64100

Prime factors of 64100 are 2, 5, 641. Prime factorization of 64100 in exponential form is:

64100 = 22 × 52 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 64089 and 64100.

LCM(64089,64100) = 32 × 71211 × 22 × 52 × 6411
LCM(64089,64100) = 4108104900