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What is the Least Common Multiple of 88337 and 88348?

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 88337 and 88348 is 7804397276.

LCM(88337,88348) = 7804397276

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Least Common Multiple of 88337 and 88348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88337 and 88348, than apply into the LCM equation.

GCF(88337,88348) = 1
LCM(88337,88348) = ( 88337 × 88348) / 1
LCM(88337,88348) = 7804397276 / 1
LCM(88337,88348) = 7804397276

Least Common Multiple (LCM) of 88337 and 88348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88337 and 88348. First we will calculate the prime factors of 88337 and 88348.

Prime Factorization of 88337

Prime factors of 88337 are 88337. Prime factorization of 88337 in exponential form is:

88337 = 883371

Prime Factorization of 88348

Prime factors of 88348 are 2, 13, 1699. Prime factorization of 88348 in exponential form is:

88348 = 22 × 131 × 16991

Now multiplying the highest exponent prime factors to calculate the LCM of 88337 and 88348.

LCM(88337,88348) = 883371 × 22 × 131 × 16991
LCM(88337,88348) = 7804397276