What is the Least Common Multiple of 627 and 643?
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 627 and 643 is 403161.
LCM(627,643) = 403161
Least Common Multiple of 627 and 643 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 627 and 643, than apply into the LCM equation.
GCF(627,643) = 1
LCM(627,643) = ( 627 × 643) / 1
LCM(627,643) = 403161 / 1
LCM(627,643) = 403161
Least Common Multiple (LCM) of 627 and 643 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 627 and 643. First we will calculate the prime factors of 627 and 643.
Prime Factorization of 627
Prime factors of 627 are 3, 11, 19. Prime factorization of 627 in exponential form is:
627 = 31 × 111 × 191
Prime Factorization of 643
Prime factors of 643 are 643. Prime factorization of 643 in exponential form is:
643 = 6431
Now multiplying the highest exponent prime factors to calculate the LCM of 627 and 643.
LCM(627,643) = 31 × 111 × 191 × 6431
LCM(627,643) = 403161
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