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What is the Least Common Multiple of 88067 and 88080?

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 88067 and 88080 is 7756941360.

LCM(88067,88080) = 7756941360

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Least Common Multiple of 88067 and 88080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88067 and 88080, than apply into the LCM equation.

GCF(88067,88080) = 1
LCM(88067,88080) = ( 88067 × 88080) / 1
LCM(88067,88080) = 7756941360 / 1
LCM(88067,88080) = 7756941360

Least Common Multiple (LCM) of 88067 and 88080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88067 and 88080. First we will calculate the prime factors of 88067 and 88080.

Prime Factorization of 88067

Prime factors of 88067 are 7, 23, 547. Prime factorization of 88067 in exponential form is:

88067 = 71 × 231 × 5471

Prime Factorization of 88080

Prime factors of 88080 are 2, 3, 5, 367. Prime factorization of 88080 in exponential form is:

88080 = 24 × 31 × 51 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 88067 and 88080.

LCM(88067,88080) = 71 × 231 × 5471 × 24 × 31 × 51 × 3671
LCM(88067,88080) = 7756941360