What is the Least Common Multiple of 64387 and 64407?
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 64387 and 64407 is 4146973509.
LCM(64387,64407) = 4146973509
Least Common Multiple of 64387 and 64407 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64387 and 64407, than apply into the LCM equation.
GCF(64387,64407) = 1
LCM(64387,64407) = ( 64387 × 64407) / 1
LCM(64387,64407) = 4146973509 / 1
LCM(64387,64407) = 4146973509
Least Common Multiple (LCM) of 64387 and 64407 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64387 and 64407. First we will calculate the prime factors of 64387 and 64407.
Prime Factorization of 64387
Prime factors of 64387 are 31, 67. Prime factorization of 64387 in exponential form is:
64387 = 312 × 671
Prime Factorization of 64407
Prime factors of 64407 are 3, 7, 3067. Prime factorization of 64407 in exponential form is:
64407 = 31 × 71 × 30671
Now multiplying the highest exponent prime factors to calculate the LCM of 64387 and 64407.
LCM(64387,64407) = 312 × 671 × 31 × 71 × 30671
LCM(64387,64407) = 4146973509
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