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What is the Least Common Multiple of 4011 and 4024?

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 4011 and 4024 is 16140264.

LCM(4011,4024) = 16140264

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Least Common Multiple of 4011 and 4024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4011 and 4024, than apply into the LCM equation.

GCF(4011,4024) = 1
LCM(4011,4024) = ( 4011 × 4024) / 1
LCM(4011,4024) = 16140264 / 1
LCM(4011,4024) = 16140264

Least Common Multiple (LCM) of 4011 and 4024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4011 and 4024. First we will calculate the prime factors of 4011 and 4024.

Prime Factorization of 4011

Prime factors of 4011 are 3, 7, 191. Prime factorization of 4011 in exponential form is:

4011 = 31 × 71 × 1911

Prime Factorization of 4024

Prime factors of 4024 are 2, 503. Prime factorization of 4024 in exponential form is:

4024 = 23 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 4011 and 4024.

LCM(4011,4024) = 31 × 71 × 1911 × 23 × 5031
LCM(4011,4024) = 16140264