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What is the Least Common Multiple of 1529 and 1542?

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 1529 and 1542 is 2357718.

LCM(1529,1542) = 2357718

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Least Common Multiple of 1529 and 1542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1529 and 1542, than apply into the LCM equation.

GCF(1529,1542) = 1
LCM(1529,1542) = ( 1529 × 1542) / 1
LCM(1529,1542) = 2357718 / 1
LCM(1529,1542) = 2357718

Least Common Multiple (LCM) of 1529 and 1542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1529 and 1542. First we will calculate the prime factors of 1529 and 1542.

Prime Factorization of 1529

Prime factors of 1529 are 11, 139. Prime factorization of 1529 in exponential form is:

1529 = 111 × 1391

Prime Factorization of 1542

Prime factors of 1542 are 2, 3, 257. Prime factorization of 1542 in exponential form is:

1542 = 21 × 31 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 1529 and 1542.

LCM(1529,1542) = 111 × 1391 × 21 × 31 × 2571
LCM(1529,1542) = 2357718