What is the Least Common Multiple of 64660 and 64664?
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 64660 and 64664 is 1045293560.
LCM(64660,64664) = 1045293560
Least Common Multiple of 64660 and 64664 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64660 and 64664, than apply into the LCM equation.
GCF(64660,64664) = 4
LCM(64660,64664) = ( 64660 × 64664) / 4
LCM(64660,64664) = 4181174240 / 4
LCM(64660,64664) = 1045293560
Least Common Multiple (LCM) of 64660 and 64664 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64660 and 64664. First we will calculate the prime factors of 64660 and 64664.
Prime Factorization of 64660
Prime factors of 64660 are 2, 5, 53, 61. Prime factorization of 64660 in exponential form is:
64660 = 22 × 51 × 531 × 611
Prime Factorization of 64664
Prime factors of 64664 are 2, 59, 137. Prime factorization of 64664 in exponential form is:
64664 = 23 × 591 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 64660 and 64664.
LCM(64660,64664) = 23 × 51 × 531 × 611 × 591 × 1371
LCM(64660,64664) = 1045293560
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