What is the Least Common Multiple of 1016 and 1035?
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 1035 is 1051560.
LCM(1016,1035) = 1051560
Least Common Multiple of 1016 and 1035 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 1035, than apply into the LCM equation.
GCF(1016,1035) = 1
LCM(1016,1035) = ( 1016 × 1035) / 1
LCM(1016,1035) = 1051560 / 1
LCM(1016,1035) = 1051560
Least Common Multiple (LCM) of 1016 and 1035 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1016 and 1035. First we will calculate the prime factors of 1016 and 1035.
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 1035
Prime factors of 1035 are 3, 5, 23. Prime factorization of 1035 in exponential form is:
1035 = 32 × 51 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 1016 and 1035.
LCM(1016,1035) = 23 × 1271 × 32 × 51 × 231
LCM(1016,1035) = 1051560
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