What is the Least Common Multiple of 1016 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 1016 and 1021 is 1037336.
LCM(1016,1021) = 1037336
Least Common Multiple of 1016 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 1016 and 1021, than apply into the LCM equation.
GCF(1016,1021) = 1
LCM(1016,1021) = ( 1016 × 1021) / 1
LCM(1016,1021) = 1037336 / 1
LCM(1016,1021) = 1037336
Least Common Multiple (LCM) of 1016 and 1021 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1016 and 1021. First we will calculate the prime factors of 1016 and 1021.
Prime Factorization of 1016
Prime factors of 1016 are 2, 127. Prime factorization of 1016 in exponential form is:
1016 = 23 × 1271
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 1016 and 1021.
LCM(1016,1021) = 23 × 1271 × 10211
LCM(1016,1021) = 1037336
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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
- LCM of 1021 and 1028
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- LCM of 1021 and 1030
- LCM of 1021 and 1031
- LCM of 1021 and 1032
- LCM of 1021 and 1033
- LCM of 1021 and 1034
- LCM of 1021 and 1035
- LCM of 1021 and 1036
- LCM of 1021 and 1037
- LCM of 1021 and 1038
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