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What is the Least Common Multiple of 25470 and 25482?

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 25470 and 25482 is 108171090.

LCM(25470,25482) = 108171090

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Least Common Multiple of 25470 and 25482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25470 and 25482, than apply into the LCM equation.

GCF(25470,25482) = 6
LCM(25470,25482) = ( 25470 × 25482) / 6
LCM(25470,25482) = 649026540 / 6
LCM(25470,25482) = 108171090

Least Common Multiple (LCM) of 25470 and 25482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25470 and 25482. First we will calculate the prime factors of 25470 and 25482.

Prime Factorization of 25470

Prime factors of 25470 are 2, 3, 5, 283. Prime factorization of 25470 in exponential form is:

25470 = 21 × 32 × 51 × 2831

Prime Factorization of 25482

Prime factors of 25482 are 2, 3, 31, 137. Prime factorization of 25482 in exponential form is:

25482 = 21 × 31 × 311 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 25470 and 25482.

LCM(25470,25482) = 21 × 32 × 51 × 2831 × 311 × 1371
LCM(25470,25482) = 108171090