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What is the Least Common Multiple of 1016 and 1030?

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 1030 is 523240.

LCM(1016,1030) = 523240

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Least Common Multiple of 1016 and 1030 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 1030, than apply into the LCM equation.

GCF(1016,1030) = 2
LCM(1016,1030) = ( 1016 × 1030) / 2
LCM(1016,1030) = 1046480 / 2
LCM(1016,1030) = 523240

Least Common Multiple (LCM) of 1016 and 1030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1016 and 1030. First we will calculate the prime factors of 1016 and 1030.

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 1030

Prime factors of 1030 are 2, 5, 103. Prime factorization of 1030 in exponential form is:

1030 = 21 × 51 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 1016 and 1030.

LCM(1016,1030) = 23 × 1271 × 51 × 1031
LCM(1016,1030) = 523240