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What is the Least Common Multiple of 88159 and 88172?

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 88159 and 88172 is 7773155348.

LCM(88159,88172) = 7773155348

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Least Common Multiple of 88159 and 88172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88159 and 88172, than apply into the LCM equation.

GCF(88159,88172) = 1
LCM(88159,88172) = ( 88159 × 88172) / 1
LCM(88159,88172) = 7773155348 / 1
LCM(88159,88172) = 7773155348

Least Common Multiple (LCM) of 88159 and 88172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88159 and 88172. First we will calculate the prime factors of 88159 and 88172.

Prime Factorization of 88159

Prime factors of 88159 are 23, 3833. Prime factorization of 88159 in exponential form is:

88159 = 231 × 38331

Prime Factorization of 88172

Prime factors of 88172 are 2, 7, 47, 67. Prime factorization of 88172 in exponential form is:

88172 = 22 × 71 × 471 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 88159 and 88172.

LCM(88159,88172) = 231 × 38331 × 22 × 71 × 471 × 671
LCM(88159,88172) = 7773155348