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What is the Least Common Multiple of 4534 and 4542?

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 4534 and 4542 is 10296714.

LCM(4534,4542) = 10296714

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Least Common Multiple of 4534 and 4542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4534 and 4542, than apply into the LCM equation.

GCF(4534,4542) = 2
LCM(4534,4542) = ( 4534 × 4542) / 2
LCM(4534,4542) = 20593428 / 2
LCM(4534,4542) = 10296714

Least Common Multiple (LCM) of 4534 and 4542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4534 and 4542. First we will calculate the prime factors of 4534 and 4542.

Prime Factorization of 4534

Prime factors of 4534 are 2, 2267. Prime factorization of 4534 in exponential form is:

4534 = 21 × 22671

Prime Factorization of 4542

Prime factors of 4542 are 2, 3, 757. Prime factorization of 4542 in exponential form is:

4542 = 21 × 31 × 7571

Now multiplying the highest exponent prime factors to calculate the LCM of 4534 and 4542.

LCM(4534,4542) = 21 × 22671 × 31 × 7571
LCM(4534,4542) = 10296714