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What is the Least Common Multiple of 88055 and 88061?

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 88055 and 88061 is 7754211355.

LCM(88055,88061) = 7754211355

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Least Common Multiple of 88055 and 88061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88055 and 88061, than apply into the LCM equation.

GCF(88055,88061) = 1
LCM(88055,88061) = ( 88055 × 88061) / 1
LCM(88055,88061) = 7754211355 / 1
LCM(88055,88061) = 7754211355

Least Common Multiple (LCM) of 88055 and 88061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88055 and 88061. First we will calculate the prime factors of 88055 and 88061.

Prime Factorization of 88055

Prime factors of 88055 are 5, 11, 1601. Prime factorization of 88055 in exponential form is:

88055 = 51 × 111 × 16011

Prime Factorization of 88061

Prime factors of 88061 are 107, 823. Prime factorization of 88061 in exponential form is:

88061 = 1071 × 8231

Now multiplying the highest exponent prime factors to calculate the LCM of 88055 and 88061.

LCM(88055,88061) = 51 × 111 × 16011 × 1071 × 8231
LCM(88055,88061) = 7754211355