What is the Least Common Multiple of 64514 and 64523?
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 64514 and 64523 is 4162636822.
LCM(64514,64523) = 4162636822
Least Common Multiple of 64514 and 64523 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64514 and 64523, than apply into the LCM equation.
GCF(64514,64523) = 1
LCM(64514,64523) = ( 64514 × 64523) / 1
LCM(64514,64523) = 4162636822 / 1
LCM(64514,64523) = 4162636822
Least Common Multiple (LCM) of 64514 and 64523 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64514 and 64523. First we will calculate the prime factors of 64514 and 64523.
Prime Factorization of 64514
Prime factors of 64514 are 2, 32257. Prime factorization of 64514 in exponential form is:
64514 = 21 × 322571
Prime Factorization of 64523
Prime factors of 64523 are 113, 571. Prime factorization of 64523 in exponential form is:
64523 = 1131 × 5711
Now multiplying the highest exponent prime factors to calculate the LCM of 64514 and 64523.
LCM(64514,64523) = 21 × 322571 × 1131 × 5711
LCM(64514,64523) = 4162636822
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