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What is the Least Common Multiple of 24911 and 24915?

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 24911 and 24915 is 620657565.

LCM(24911,24915) = 620657565

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Least Common Multiple of 24911 and 24915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24911 and 24915, than apply into the LCM equation.

GCF(24911,24915) = 1
LCM(24911,24915) = ( 24911 × 24915) / 1
LCM(24911,24915) = 620657565 / 1
LCM(24911,24915) = 620657565

Least Common Multiple (LCM) of 24911 and 24915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24911 and 24915. First we will calculate the prime factors of 24911 and 24915.

Prime Factorization of 24911

Prime factors of 24911 are 29, 859. Prime factorization of 24911 in exponential form is:

24911 = 291 × 8591

Prime Factorization of 24915

Prime factors of 24915 are 3, 5, 11, 151. Prime factorization of 24915 in exponential form is:

24915 = 31 × 51 × 111 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 24911 and 24915.

LCM(24911,24915) = 291 × 8591 × 31 × 51 × 111 × 1511
LCM(24911,24915) = 620657565