What is the Least Common Multiple of 600 and 613?
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 600 and 613 is 367800.
LCM(600,613) = 367800
Least Common Multiple of 600 and 613 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 600 and 613, than apply into the LCM equation.
GCF(600,613) = 1
LCM(600,613) = ( 600 × 613) / 1
LCM(600,613) = 367800 / 1
LCM(600,613) = 367800
Least Common Multiple (LCM) of 600 and 613 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 600 and 613. First we will calculate the prime factors of 600 and 613.
Prime Factorization of 600
Prime factors of 600 are 2, 3, 5. Prime factorization of 600 in exponential form is:
600 = 23 × 31 × 52
Prime Factorization of 613
Prime factors of 613 are 613. Prime factorization of 613 in exponential form is:
613 = 6131
Now multiplying the highest exponent prime factors to calculate the LCM of 600 and 613.
LCM(600,613) = 23 × 31 × 52 × 6131
LCM(600,613) = 367800
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