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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

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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