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What is the Least Common Multiple of 88133 and 88148?

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 88133 and 88148 is 7768747684.

LCM(88133,88148) = 7768747684

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Least Common Multiple of 88133 and 88148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88133 and 88148, than apply into the LCM equation.

GCF(88133,88148) = 1
LCM(88133,88148) = ( 88133 × 88148) / 1
LCM(88133,88148) = 7768747684 / 1
LCM(88133,88148) = 7768747684

Least Common Multiple (LCM) of 88133 and 88148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88133 and 88148. First we will calculate the prime factors of 88133 and 88148.

Prime Factorization of 88133

Prime factors of 88133 are 31, 2843. Prime factorization of 88133 in exponential form is:

88133 = 311 × 28431

Prime Factorization of 88148

Prime factors of 88148 are 2, 22037. Prime factorization of 88148 in exponential form is:

88148 = 22 × 220371

Now multiplying the highest exponent prime factors to calculate the LCM of 88133 and 88148.

LCM(88133,88148) = 311 × 28431 × 22 × 220371
LCM(88133,88148) = 7768747684