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What is the Least Common Multiple of 2525 and 2534?

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 2525 and 2534 is 6398350.

LCM(2525,2534) = 6398350

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Least Common Multiple of 2525 and 2534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2525 and 2534, than apply into the LCM equation.

GCF(2525,2534) = 1
LCM(2525,2534) = ( 2525 × 2534) / 1
LCM(2525,2534) = 6398350 / 1
LCM(2525,2534) = 6398350

Least Common Multiple (LCM) of 2525 and 2534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2525 and 2534. First we will calculate the prime factors of 2525 and 2534.

Prime Factorization of 2525

Prime factors of 2525 are 5, 101. Prime factorization of 2525 in exponential form is:

2525 = 52 × 1011

Prime Factorization of 2534

Prime factors of 2534 are 2, 7, 181. Prime factorization of 2534 in exponential form is:

2534 = 21 × 71 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 2525 and 2534.

LCM(2525,2534) = 52 × 1011 × 21 × 71 × 1811
LCM(2525,2534) = 6398350