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What is the Least Common Multiple of 1528 and 1547?

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 1528 and 1547 is 2363816.

LCM(1528,1547) = 2363816

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Least Common Multiple of 1528 and 1547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1528 and 1547, than apply into the LCM equation.

GCF(1528,1547) = 1
LCM(1528,1547) = ( 1528 × 1547) / 1
LCM(1528,1547) = 2363816 / 1
LCM(1528,1547) = 2363816

Least Common Multiple (LCM) of 1528 and 1547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1528 and 1547. First we will calculate the prime factors of 1528 and 1547.

Prime Factorization of 1528

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

1528 = 23 × 1911

Prime Factorization of 1547

Prime factors of 1547 are 7, 13, 17. Prime factorization of 1547 in exponential form is:

1547 = 71 × 131 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 1528 and 1547.

LCM(1528,1547) = 23 × 1911 × 71 × 131 × 171
LCM(1528,1547) = 2363816