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What is the Least Common Multiple of 25520 and 25530?

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 25520 and 25530 is 65152560.

LCM(25520,25530) = 65152560

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Least Common Multiple of 25520 and 25530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25520 and 25530, than apply into the LCM equation.

GCF(25520,25530) = 10
LCM(25520,25530) = ( 25520 × 25530) / 10
LCM(25520,25530) = 651525600 / 10
LCM(25520,25530) = 65152560

Least Common Multiple (LCM) of 25520 and 25530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25520 and 25530. First we will calculate the prime factors of 25520 and 25530.

Prime Factorization of 25520

Prime factors of 25520 are 2, 5, 11, 29. Prime factorization of 25520 in exponential form is:

25520 = 24 × 51 × 111 × 291

Prime Factorization of 25530

Prime factors of 25530 are 2, 3, 5, 23, 37. Prime factorization of 25530 in exponential form is:

25530 = 21 × 31 × 51 × 231 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 25520 and 25530.

LCM(25520,25530) = 24 × 51 × 111 × 291 × 31 × 231 × 371
LCM(25520,25530) = 65152560