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What is the Least Common Multiple of 1536 and 1545?

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 1536 and 1545 is 791040.

LCM(1536,1545) = 791040

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Least Common Multiple of 1536 and 1545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1536 and 1545, than apply into the LCM equation.

GCF(1536,1545) = 3
LCM(1536,1545) = ( 1536 × 1545) / 3
LCM(1536,1545) = 2373120 / 3
LCM(1536,1545) = 791040

Least Common Multiple (LCM) of 1536 and 1545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1536 and 1545. First we will calculate the prime factors of 1536 and 1545.

Prime Factorization of 1536

Prime factors of 1536 are 2, 3. Prime factorization of 1536 in exponential form is:

1536 = 29 × 31

Prime Factorization of 1545

Prime factors of 1545 are 3, 5, 103. Prime factorization of 1545 in exponential form is:

1545 = 31 × 51 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 1536 and 1545.

LCM(1536,1545) = 29 × 31 × 51 × 1031
LCM(1536,1545) = 791040