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What is the Least Common Multiple of 88152 and 88163?

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 88152 and 88163 is 7771744776.

LCM(88152,88163) = 7771744776

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Least Common Multiple of 88152 and 88163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88152 and 88163, than apply into the LCM equation.

GCF(88152,88163) = 1
LCM(88152,88163) = ( 88152 × 88163) / 1
LCM(88152,88163) = 7771744776 / 1
LCM(88152,88163) = 7771744776

Least Common Multiple (LCM) of 88152 and 88163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88152 and 88163. First we will calculate the prime factors of 88152 and 88163.

Prime Factorization of 88152

Prime factors of 88152 are 2, 3, 3673. Prime factorization of 88152 in exponential form is:

88152 = 23 × 31 × 36731

Prime Factorization of 88163

Prime factors of 88163 are 131, 673. Prime factorization of 88163 in exponential form is:

88163 = 1311 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 88152 and 88163.

LCM(88152,88163) = 23 × 31 × 36731 × 1311 × 6731
LCM(88152,88163) = 7771744776