What is the Least Common Multiple of 608 and 614?
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 614 is 186656.
LCM(608,614) = 186656
Least Common Multiple of 608 and 614 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 614, than apply into the LCM equation.
GCF(608,614) = 2
LCM(608,614) = ( 608 × 614) / 2
LCM(608,614) = 373312 / 2
LCM(608,614) = 186656
Least Common Multiple (LCM) of 608 and 614 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 608 and 614. First we will calculate the prime factors of 608 and 614.
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 614
Prime factors of 614 are 2, 307. Prime factorization of 614 in exponential form is:
614 = 21 × 3071
Now multiplying the highest exponent prime factors to calculate the LCM of 608 and 614.
LCM(608,614) = 25 × 191 × 3071
LCM(608,614) = 186656
Related Least Common Multiples of 608
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Related Least Common Multiples of 614
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