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What is the Least Common Multiple of 8905 and 8919?

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 8905 and 8919 is 79423695.

LCM(8905,8919) = 79423695

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Least Common Multiple of 8905 and 8919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8905 and 8919, than apply into the LCM equation.

GCF(8905,8919) = 1
LCM(8905,8919) = ( 8905 × 8919) / 1
LCM(8905,8919) = 79423695 / 1
LCM(8905,8919) = 79423695

Least Common Multiple (LCM) of 8905 and 8919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8905 and 8919. First we will calculate the prime factors of 8905 and 8919.

Prime Factorization of 8905

Prime factors of 8905 are 5, 13, 137. Prime factorization of 8905 in exponential form is:

8905 = 51 × 131 × 1371

Prime Factorization of 8919

Prime factors of 8919 are 3, 991. Prime factorization of 8919 in exponential form is:

8919 = 32 × 9911

Now multiplying the highest exponent prime factors to calculate the LCM of 8905 and 8919.

LCM(8905,8919) = 51 × 131 × 1371 × 32 × 9911
LCM(8905,8919) = 79423695