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What is the Least Common Multiple of 88802 and 88815?

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 88802 and 88815 is 7886949630.

LCM(88802,88815) = 7886949630

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Least Common Multiple of 88802 and 88815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88802 and 88815, than apply into the LCM equation.

GCF(88802,88815) = 1
LCM(88802,88815) = ( 88802 × 88815) / 1
LCM(88802,88815) = 7886949630 / 1
LCM(88802,88815) = 7886949630

Least Common Multiple (LCM) of 88802 and 88815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88802 and 88815. First we will calculate the prime factors of 88802 and 88815.

Prime Factorization of 88802

Prime factors of 88802 are 2, 7, 6343. Prime factorization of 88802 in exponential form is:

88802 = 21 × 71 × 63431

Prime Factorization of 88815

Prime factors of 88815 are 3, 5, 31, 191. Prime factorization of 88815 in exponential form is:

88815 = 31 × 51 × 311 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 88802 and 88815.

LCM(88802,88815) = 21 × 71 × 63431 × 31 × 51 × 311 × 1911
LCM(88802,88815) = 7886949630