What is the Least Common Multiple of 687 and 700?
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 687 and 700 is 480900.
LCM(687,700) = 480900
Least Common Multiple of 687 and 700 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 687 and 700, than apply into the LCM equation.
GCF(687,700) = 1
LCM(687,700) = ( 687 × 700) / 1
LCM(687,700) = 480900 / 1
LCM(687,700) = 480900
Least Common Multiple (LCM) of 687 and 700 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 687 and 700. First we will calculate the prime factors of 687 and 700.
Prime Factorization of 687
Prime factors of 687 are 3, 229. Prime factorization of 687 in exponential form is:
687 = 31 × 2291
Prime Factorization of 700
Prime factors of 700 are 2, 5, 7. Prime factorization of 700 in exponential form is:
700 = 22 × 52 × 71
Now multiplying the highest exponent prime factors to calculate the LCM of 687 and 700.
LCM(687,700) = 31 × 2291 × 22 × 52 × 71
LCM(687,700) = 480900
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