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What is the Least Common Multiple of 1518 and 1528?

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 1518 and 1528 is 1159752.

LCM(1518,1528) = 1159752

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Least Common Multiple of 1518 and 1528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1518 and 1528, than apply into the LCM equation.

GCF(1518,1528) = 2
LCM(1518,1528) = ( 1518 × 1528) / 2
LCM(1518,1528) = 2319504 / 2
LCM(1518,1528) = 1159752

Least Common Multiple (LCM) of 1518 and 1528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1518 and 1528. First we will calculate the prime factors of 1518 and 1528.

Prime Factorization of 1518

Prime factors of 1518 are 2, 3, 11, 23. Prime factorization of 1518 in exponential form is:

1518 = 21 × 31 × 111 × 231

Prime Factorization of 1528

Prime factors of 1528 are 2, 191. Prime factorization of 1528 in exponential form is:

1528 = 23 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 1518 and 1528.

LCM(1518,1528) = 23 × 31 × 111 × 231 × 1911
LCM(1518,1528) = 1159752