What is the Least Common Multiple of 1016 and 1027?
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 1027 is 1043432.
LCM(1016,1027) = 1043432
Least Common Multiple of 1016 and 1027 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 1027, than apply into the LCM equation.
GCF(1016,1027) = 1
LCM(1016,1027) = ( 1016 × 1027) / 1
LCM(1016,1027) = 1043432 / 1
LCM(1016,1027) = 1043432
Least Common Multiple (LCM) of 1016 and 1027 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1016 and 1027. First we will calculate the prime factors of 1016 and 1027.
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 1027
Prime factors of 1027 are 13, 79. Prime factorization of 1027 in exponential form is:
1027 = 131 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 1016 and 1027.
LCM(1016,1027) = 23 × 1271 × 131 × 791
LCM(1016,1027) = 1043432
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- LCM of 1016 and 1027
- LCM of 1016 and 1028
- LCM of 1016 and 1029
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Related Least Common Multiples of 1027
- LCM of 1027 and 1031
- LCM of 1027 and 1032
- LCM of 1027 and 1033
- LCM of 1027 and 1034
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- LCM of 1027 and 1037
- LCM of 1027 and 1038
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- LCM of 1027 and 1042
- LCM of 1027 and 1043
- LCM of 1027 and 1044
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