What is the Least Common Multiple of 645 and 664?
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 645 and 664 is 428280.
LCM(645,664) = 428280
Least Common Multiple of 645 and 664 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 645 and 664, than apply into the LCM equation.
GCF(645,664) = 1
LCM(645,664) = ( 645 × 664) / 1
LCM(645,664) = 428280 / 1
LCM(645,664) = 428280
Least Common Multiple (LCM) of 645 and 664 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 645 and 664. First we will calculate the prime factors of 645 and 664.
Prime Factorization of 645
Prime factors of 645 are 3, 5, 43. Prime factorization of 645 in exponential form is:
645 = 31 × 51 × 431
Prime Factorization of 664
Prime factors of 664 are 2, 83. Prime factorization of 664 in exponential form is:
664 = 23 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 645 and 664.
LCM(645,664) = 31 × 51 × 431 × 23 × 831
LCM(645,664) = 428280
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