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What is the Least Common Multiple of 88087 and 88095?

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 88087 and 88095 is 7760024265.

LCM(88087,88095) = 7760024265

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Least Common Multiple of 88087 and 88095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88087 and 88095, than apply into the LCM equation.

GCF(88087,88095) = 1
LCM(88087,88095) = ( 88087 × 88095) / 1
LCM(88087,88095) = 7760024265 / 1
LCM(88087,88095) = 7760024265

Least Common Multiple (LCM) of 88087 and 88095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88087 and 88095. First we will calculate the prime factors of 88087 and 88095.

Prime Factorization of 88087

Prime factors of 88087 are 59, 1493. Prime factorization of 88087 in exponential form is:

88087 = 591 × 14931

Prime Factorization of 88095

Prime factors of 88095 are 3, 5, 7, 839. Prime factorization of 88095 in exponential form is:

88095 = 31 × 51 × 71 × 8391

Now multiplying the highest exponent prime factors to calculate the LCM of 88087 and 88095.

LCM(88087,88095) = 591 × 14931 × 31 × 51 × 71 × 8391
LCM(88087,88095) = 7760024265