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What is the Least Common Multiple of 1002 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 1002 and 1021 is 1023042.

LCM(1002,1021) = 1023042

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Least Common Multiple of 1002 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 1002 and 1021, than apply into the LCM equation.

GCF(1002,1021) = 1
LCM(1002,1021) = ( 1002 × 1021) / 1
LCM(1002,1021) = 1023042 / 1
LCM(1002,1021) = 1023042

Least Common Multiple (LCM) of 1002 and 1021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1002 and 1021. First we will calculate the prime factors of 1002 and 1021.

Prime Factorization of 1002

Prime factors of 1002 are 2, 3, 167. Prime factorization of 1002 in exponential form is:

1002 = 21 × 31 × 1671

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 1002 and 1021.

LCM(1002,1021) = 21 × 31 × 1671 × 10211
LCM(1002,1021) = 1023042