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What is the Least Common Multiple of 25416 and 25429?

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 25416 and 25429 is 646303464.

LCM(25416,25429) = 646303464

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Least Common Multiple of 25416 and 25429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25416 and 25429, than apply into the LCM equation.

GCF(25416,25429) = 1
LCM(25416,25429) = ( 25416 × 25429) / 1
LCM(25416,25429) = 646303464 / 1
LCM(25416,25429) = 646303464

Least Common Multiple (LCM) of 25416 and 25429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25416 and 25429. First we will calculate the prime factors of 25416 and 25429.

Prime Factorization of 25416

Prime factors of 25416 are 2, 3, 353. Prime factorization of 25416 in exponential form is:

25416 = 23 × 32 × 3531

Prime Factorization of 25429

Prime factors of 25429 are 59, 431. Prime factorization of 25429 in exponential form is:

25429 = 591 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 25416 and 25429.

LCM(25416,25429) = 23 × 32 × 3531 × 591 × 4311
LCM(25416,25429) = 646303464