What is the Least Common Multiple of 6017 and 6021?
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 6017 and 6021 is 36228357.
LCM(6017,6021) = 36228357
Least Common Multiple of 6017 and 6021 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6017 and 6021, than apply into the LCM equation.
GCF(6017,6021) = 1
LCM(6017,6021) = ( 6017 × 6021) / 1
LCM(6017,6021) = 36228357 / 1
LCM(6017,6021) = 36228357
Least Common Multiple (LCM) of 6017 and 6021 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6017 and 6021. First we will calculate the prime factors of 6017 and 6021.
Prime Factorization of 6017
Prime factors of 6017 are 11, 547. Prime factorization of 6017 in exponential form is:
6017 = 111 × 5471
Prime Factorization of 6021
Prime factors of 6021 are 3, 223. Prime factorization of 6021 in exponential form is:
6021 = 33 × 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 6017 and 6021.
LCM(6017,6021) = 111 × 5471 × 33 × 2231
LCM(6017,6021) = 36228357
Related Least Common Multiples of 6017
- LCM of 6017 and 6021
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Related Least Common Multiples of 6021
- LCM of 6021 and 6025
- LCM of 6021 and 6026
- LCM of 6021 and 6027
- LCM of 6021 and 6028
- LCM of 6021 and 6029
- LCM of 6021 and 6030
- LCM of 6021 and 6031
- LCM of 6021 and 6032
- LCM of 6021 and 6033
- LCM of 6021 and 6034
- LCM of 6021 and 6035
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