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What is the Least Common Multiple of 4495 and 4501?

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 4495 and 4501 is 20231995.

LCM(4495,4501) = 20231995

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Least Common Multiple of 4495 and 4501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4495 and 4501, than apply into the LCM equation.

GCF(4495,4501) = 1
LCM(4495,4501) = ( 4495 × 4501) / 1
LCM(4495,4501) = 20231995 / 1
LCM(4495,4501) = 20231995

Least Common Multiple (LCM) of 4495 and 4501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4495 and 4501. First we will calculate the prime factors of 4495 and 4501.

Prime Factorization of 4495

Prime factors of 4495 are 5, 29, 31. Prime factorization of 4495 in exponential form is:

4495 = 51 × 291 × 311

Prime Factorization of 4501

Prime factors of 4501 are 7, 643. Prime factorization of 4501 in exponential form is:

4501 = 71 × 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 4495 and 4501.

LCM(4495,4501) = 51 × 291 × 311 × 71 × 6431
LCM(4495,4501) = 20231995