What is the Least Common Multiple of 600 and 620?
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 620 is 18600.
LCM(600,620) = 18600
Least Common Multiple of 600 and 620 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 620, than apply into the LCM equation.
GCF(600,620) = 20
LCM(600,620) = ( 600 × 620) / 20
LCM(600,620) = 372000 / 20
LCM(600,620) = 18600
Least Common Multiple (LCM) of 600 and 620 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 600 and 620. First we will calculate the prime factors of 600 and 620.
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 620
Prime factors of 620 are 2, 5, 31. Prime factorization of 620 in exponential form is:
620 = 22 × 51 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 600 and 620.
LCM(600,620) = 23 × 31 × 52 × 311
LCM(600,620) = 18600
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