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What is the Least Common Multiple of 4538 and 4554?

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 4538 and 4554 is 10333026.

LCM(4538,4554) = 10333026

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Least Common Multiple of 4538 and 4554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4538 and 4554, than apply into the LCM equation.

GCF(4538,4554) = 2
LCM(4538,4554) = ( 4538 × 4554) / 2
LCM(4538,4554) = 20666052 / 2
LCM(4538,4554) = 10333026

Least Common Multiple (LCM) of 4538 and 4554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4538 and 4554. First we will calculate the prime factors of 4538 and 4554.

Prime Factorization of 4538

Prime factors of 4538 are 2, 2269. Prime factorization of 4538 in exponential form is:

4538 = 21 × 22691

Prime Factorization of 4554

Prime factors of 4554 are 2, 3, 11, 23. Prime factorization of 4554 in exponential form is:

4554 = 21 × 32 × 111 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 4538 and 4554.

LCM(4538,4554) = 21 × 22691 × 32 × 111 × 231
LCM(4538,4554) = 10333026