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What is the Least Common Multiple of 25220 and 25229?

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 25220 and 25229 is 636275380.

LCM(25220,25229) = 636275380

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Least Common Multiple of 25220 and 25229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25220 and 25229, than apply into the LCM equation.

GCF(25220,25229) = 1
LCM(25220,25229) = ( 25220 × 25229) / 1
LCM(25220,25229) = 636275380 / 1
LCM(25220,25229) = 636275380

Least Common Multiple (LCM) of 25220 and 25229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25220 and 25229. First we will calculate the prime factors of 25220 and 25229.

Prime Factorization of 25220

Prime factors of 25220 are 2, 5, 13, 97. Prime factorization of 25220 in exponential form is:

25220 = 22 × 51 × 131 × 971

Prime Factorization of 25229

Prime factors of 25229 are 25229. Prime factorization of 25229 in exponential form is:

25229 = 252291

Now multiplying the highest exponent prime factors to calculate the LCM of 25220 and 25229.

LCM(25220,25229) = 22 × 51 × 131 × 971 × 252291
LCM(25220,25229) = 636275380