What is the Least Common Multiple of 64017 and 64036?
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 64017 and 64036 is 4099392612.
LCM(64017,64036) = 4099392612
Least Common Multiple of 64017 and 64036 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64017 and 64036, than apply into the LCM equation.
GCF(64017,64036) = 1
LCM(64017,64036) = ( 64017 × 64036) / 1
LCM(64017,64036) = 4099392612 / 1
LCM(64017,64036) = 4099392612
Least Common Multiple (LCM) of 64017 and 64036 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64017 and 64036. First we will calculate the prime factors of 64017 and 64036.
Prime Factorization of 64017
Prime factors of 64017 are 3, 2371. Prime factorization of 64017 in exponential form is:
64017 = 33 × 23711
Prime Factorization of 64036
Prime factors of 64036 are 2, 7, 2287. Prime factorization of 64036 in exponential form is:
64036 = 22 × 71 × 22871
Now multiplying the highest exponent prime factors to calculate the LCM of 64017 and 64036.
LCM(64017,64036) = 33 × 23711 × 22 × 71 × 22871
LCM(64017,64036) = 4099392612
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