What is the Least Common Multiple of 629 and 646?
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 629 and 646 is 23902.
LCM(629,646) = 23902
Least Common Multiple of 629 and 646 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 629 and 646, than apply into the LCM equation.
GCF(629,646) = 17
LCM(629,646) = ( 629 × 646) / 17
LCM(629,646) = 406334 / 17
LCM(629,646) = 23902
Least Common Multiple (LCM) of 629 and 646 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 629 and 646. First we will calculate the prime factors of 629 and 646.
Prime Factorization of 629
Prime factors of 629 are 17, 37. Prime factorization of 629 in exponential form is:
629 = 171 × 371
Prime Factorization of 646
Prime factors of 646 are 2, 17, 19. Prime factorization of 646 in exponential form is:
646 = 21 × 171 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 629 and 646.
LCM(629,646) = 171 × 371 × 21 × 191
LCM(629,646) = 23902
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