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What is the Least Common Multiple of 1534 and 1538?

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 1534 and 1538 is 1179646.

LCM(1534,1538) = 1179646

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Least Common Multiple of 1534 and 1538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1534 and 1538, than apply into the LCM equation.

GCF(1534,1538) = 2
LCM(1534,1538) = ( 1534 × 1538) / 2
LCM(1534,1538) = 2359292 / 2
LCM(1534,1538) = 1179646

Least Common Multiple (LCM) of 1534 and 1538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1534 and 1538. First we will calculate the prime factors of 1534 and 1538.

Prime Factorization of 1534

Prime factors of 1534 are 2, 13, 59. Prime factorization of 1534 in exponential form is:

1534 = 21 × 131 × 591

Prime Factorization of 1538

Prime factors of 1538 are 2, 769. Prime factorization of 1538 in exponential form is:

1538 = 21 × 7691

Now multiplying the highest exponent prime factors to calculate the LCM of 1534 and 1538.

LCM(1534,1538) = 21 × 131 × 591 × 7691
LCM(1534,1538) = 1179646