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What is the Least Common Multiple of 88247 and 88260?

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 88247 and 88260 is 7788680220.

LCM(88247,88260) = 7788680220

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Least Common Multiple of 88247 and 88260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88247 and 88260, than apply into the LCM equation.

GCF(88247,88260) = 1
LCM(88247,88260) = ( 88247 × 88260) / 1
LCM(88247,88260) = 7788680220 / 1
LCM(88247,88260) = 7788680220

Least Common Multiple (LCM) of 88247 and 88260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88247 and 88260. First we will calculate the prime factors of 88247 and 88260.

Prime Factorization of 88247

Prime factors of 88247 are 17, 29, 179. Prime factorization of 88247 in exponential form is:

88247 = 171 × 291 × 1791

Prime Factorization of 88260

Prime factors of 88260 are 2, 3, 5, 1471. Prime factorization of 88260 in exponential form is:

88260 = 22 × 31 × 51 × 14711

Now multiplying the highest exponent prime factors to calculate the LCM of 88247 and 88260.

LCM(88247,88260) = 171 × 291 × 1791 × 22 × 31 × 51 × 14711
LCM(88247,88260) = 7788680220