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What is the Least Common Multiple of 88226 and 88235?

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 88226 and 88235 is 7784621110.

LCM(88226,88235) = 7784621110

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Least Common Multiple of 88226 and 88235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88226 and 88235, than apply into the LCM equation.

GCF(88226,88235) = 1
LCM(88226,88235) = ( 88226 × 88235) / 1
LCM(88226,88235) = 7784621110 / 1
LCM(88226,88235) = 7784621110

Least Common Multiple (LCM) of 88226 and 88235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88226 and 88235. First we will calculate the prime factors of 88226 and 88235.

Prime Factorization of 88226

Prime factors of 88226 are 2, 31, 1423. Prime factorization of 88226 in exponential form is:

88226 = 21 × 311 × 14231

Prime Factorization of 88235

Prime factors of 88235 are 5, 7, 2521. Prime factorization of 88235 in exponential form is:

88235 = 51 × 71 × 25211

Now multiplying the highest exponent prime factors to calculate the LCM of 88226 and 88235.

LCM(88226,88235) = 21 × 311 × 14231 × 51 × 71 × 25211
LCM(88226,88235) = 7784621110