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What is the Least Common Multiple of 1525 and 1544?

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 1525 and 1544 is 2354600.

LCM(1525,1544) = 2354600

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Least Common Multiple of 1525 and 1544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1525 and 1544, than apply into the LCM equation.

GCF(1525,1544) = 1
LCM(1525,1544) = ( 1525 × 1544) / 1
LCM(1525,1544) = 2354600 / 1
LCM(1525,1544) = 2354600

Least Common Multiple (LCM) of 1525 and 1544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1525 and 1544. First we will calculate the prime factors of 1525 and 1544.

Prime Factorization of 1525

Prime factors of 1525 are 5, 61. Prime factorization of 1525 in exponential form is:

1525 = 52 × 611

Prime Factorization of 1544

Prime factors of 1544 are 2, 193. Prime factorization of 1544 in exponential form is:

1544 = 23 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 1525 and 1544.

LCM(1525,1544) = 52 × 611 × 23 × 1931
LCM(1525,1544) = 2354600