What is the Least Common Multiple of 64366 and 64383?
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 64366 and 64383 is 4144076178.
LCM(64366,64383) = 4144076178
Least Common Multiple of 64366 and 64383 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64366 and 64383, than apply into the LCM equation.
GCF(64366,64383) = 1
LCM(64366,64383) = ( 64366 × 64383) / 1
LCM(64366,64383) = 4144076178 / 1
LCM(64366,64383) = 4144076178
Least Common Multiple (LCM) of 64366 and 64383 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64366 and 64383. First we will calculate the prime factors of 64366 and 64383.
Prime Factorization of 64366
Prime factors of 64366 are 2, 32183. Prime factorization of 64366 in exponential form is:
64366 = 21 × 321831
Prime Factorization of 64383
Prime factors of 64383 are 3, 11, 1951. Prime factorization of 64383 in exponential form is:
64383 = 31 × 111 × 19511
Now multiplying the highest exponent prime factors to calculate the LCM of 64366 and 64383.
LCM(64366,64383) = 21 × 321831 × 31 × 111 × 19511
LCM(64366,64383) = 4144076178
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