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What is the Least Common Multiple of 7538 and 7550?

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 7538 and 7550 is 28455950.

LCM(7538,7550) = 28455950

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Least Common Multiple of 7538 and 7550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7538 and 7550, than apply into the LCM equation.

GCF(7538,7550) = 2
LCM(7538,7550) = ( 7538 × 7550) / 2
LCM(7538,7550) = 56911900 / 2
LCM(7538,7550) = 28455950

Least Common Multiple (LCM) of 7538 and 7550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7538 and 7550. First we will calculate the prime factors of 7538 and 7550.

Prime Factorization of 7538

Prime factors of 7538 are 2, 3769. Prime factorization of 7538 in exponential form is:

7538 = 21 × 37691

Prime Factorization of 7550

Prime factors of 7550 are 2, 5, 151. Prime factorization of 7550 in exponential form is:

7550 = 21 × 52 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 7538 and 7550.

LCM(7538,7550) = 21 × 37691 × 52 × 1511
LCM(7538,7550) = 28455950