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What is the Least Common Multiple of 88615 and 88621?

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 88615 and 88621 is 7853149915.

LCM(88615,88621) = 7853149915

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Least Common Multiple of 88615 and 88621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88615 and 88621, than apply into the LCM equation.

GCF(88615,88621) = 1
LCM(88615,88621) = ( 88615 × 88621) / 1
LCM(88615,88621) = 7853149915 / 1
LCM(88615,88621) = 7853149915

Least Common Multiple (LCM) of 88615 and 88621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88615 and 88621. First we will calculate the prime factors of 88615 and 88621.

Prime Factorization of 88615

Prime factors of 88615 are 5, 37, 479. Prime factorization of 88615 in exponential form is:

88615 = 51 × 371 × 4791

Prime Factorization of 88621

Prime factors of 88621 are 13, 17, 401. Prime factorization of 88621 in exponential form is:

88621 = 131 × 171 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 88615 and 88621.

LCM(88615,88621) = 51 × 371 × 4791 × 131 × 171 × 4011
LCM(88615,88621) = 7853149915