What is the Least Common Multiple of 608 and 626?
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 608 and 626 is 190304.
LCM(608,626) = 190304
Least Common Multiple of 608 and 626 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 608 and 626, than apply into the LCM equation.
GCF(608,626) = 2
LCM(608,626) = ( 608 × 626) / 2
LCM(608,626) = 380608 / 2
LCM(608,626) = 190304
Least Common Multiple (LCM) of 608 and 626 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 608 and 626. First we will calculate the prime factors of 608 and 626.
Prime Factorization of 608
Prime factors of 608 are 2, 19. Prime factorization of 608 in exponential form is:
608 = 25 × 191
Prime Factorization of 626
Prime factors of 626 are 2, 313. Prime factorization of 626 in exponential form is:
626 = 21 × 3131
Now multiplying the highest exponent prime factors to calculate the LCM of 608 and 626.
LCM(608,626) = 25 × 191 × 3131
LCM(608,626) = 190304
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