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What is the Least Common Multiple of 88347 and 88357?

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 88347 and 88357 is 7806075879.

LCM(88347,88357) = 7806075879

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Least Common Multiple of 88347 and 88357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88347 and 88357, than apply into the LCM equation.

GCF(88347,88357) = 1
LCM(88347,88357) = ( 88347 × 88357) / 1
LCM(88347,88357) = 7806075879 / 1
LCM(88347,88357) = 7806075879

Least Common Multiple (LCM) of 88347 and 88357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88347 and 88357. First we will calculate the prime factors of 88347 and 88357.

Prime Factorization of 88347

Prime factors of 88347 are 3, 7, 601. Prime factorization of 88347 in exponential form is:

88347 = 31 × 72 × 6011

Prime Factorization of 88357

Prime factors of 88357 are 149, 593. Prime factorization of 88357 in exponential form is:

88357 = 1491 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 88347 and 88357.

LCM(88347,88357) = 31 × 72 × 6011 × 1491 × 5931
LCM(88347,88357) = 7806075879