What is the Least Common Multiple of 1014 and 1021?
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 1014 and 1021 is 1035294.
LCM(1014,1021) = 1035294
Least Common Multiple of 1014 and 1021 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1014 and 1021, than apply into the LCM equation.
GCF(1014,1021) = 1
LCM(1014,1021) = ( 1014 × 1021) / 1
LCM(1014,1021) = 1035294 / 1
LCM(1014,1021) = 1035294
Least Common Multiple (LCM) of 1014 and 1021 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1014 and 1021. First we will calculate the prime factors of 1014 and 1021.
Prime Factorization of 1014
Prime factors of 1014 are 2, 3, 13. Prime factorization of 1014 in exponential form is:
1014 = 21 × 31 × 132
Prime Factorization of 1021
Prime factors of 1021 are 1021. Prime factorization of 1021 in exponential form is:
1021 = 10211
Now multiplying the highest exponent prime factors to calculate the LCM of 1014 and 1021.
LCM(1014,1021) = 21 × 31 × 132 × 10211
LCM(1014,1021) = 1035294
Related Least Common Multiples of 1014
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Related Least Common Multiples of 1021
- LCM of 1021 and 1025
- LCM of 1021 and 1026
- LCM of 1021 and 1027
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- LCM of 1021 and 1035
- LCM of 1021 and 1036
- LCM of 1021 and 1037
- LCM of 1021 and 1038
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