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What is the Least Common Multiple of 4510 and 4523?

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 4510 and 4523 is 20398730.

LCM(4510,4523) = 20398730

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Least Common Multiple of 4510 and 4523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4510 and 4523, than apply into the LCM equation.

GCF(4510,4523) = 1
LCM(4510,4523) = ( 4510 × 4523) / 1
LCM(4510,4523) = 20398730 / 1
LCM(4510,4523) = 20398730

Least Common Multiple (LCM) of 4510 and 4523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4510 and 4523. First we will calculate the prime factors of 4510 and 4523.

Prime Factorization of 4510

Prime factors of 4510 are 2, 5, 11, 41. Prime factorization of 4510 in exponential form is:

4510 = 21 × 51 × 111 × 411

Prime Factorization of 4523

Prime factors of 4523 are 4523. Prime factorization of 4523 in exponential form is:

4523 = 45231

Now multiplying the highest exponent prime factors to calculate the LCM of 4510 and 4523.

LCM(4510,4523) = 21 × 51 × 111 × 411 × 45231
LCM(4510,4523) = 20398730