What is the Least Common Multiple of 64373 and 64385?
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 64373 and 64385 is 4144655605.
LCM(64373,64385) = 4144655605
Least Common Multiple of 64373 and 64385 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64373 and 64385, than apply into the LCM equation.
GCF(64373,64385) = 1
LCM(64373,64385) = ( 64373 × 64385) / 1
LCM(64373,64385) = 4144655605 / 1
LCM(64373,64385) = 4144655605
Least Common Multiple (LCM) of 64373 and 64385 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64373 and 64385. First we will calculate the prime factors of 64373 and 64385.
Prime Factorization of 64373
Prime factors of 64373 are 64373. Prime factorization of 64373 in exponential form is:
64373 = 643731
Prime Factorization of 64385
Prime factors of 64385 are 5, 79, 163. Prime factorization of 64385 in exponential form is:
64385 = 51 × 791 × 1631
Now multiplying the highest exponent prime factors to calculate the LCM of 64373 and 64385.
LCM(64373,64385) = 643731 × 51 × 791 × 1631
LCM(64373,64385) = 4144655605
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