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What is the Least Common Multiple of 88018 and 88028?

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 88018 and 88028 is 3874024252.

LCM(88018,88028) = 3874024252

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Least Common Multiple of 88018 and 88028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88018 and 88028, than apply into the LCM equation.

GCF(88018,88028) = 2
LCM(88018,88028) = ( 88018 × 88028) / 2
LCM(88018,88028) = 7748048504 / 2
LCM(88018,88028) = 3874024252

Least Common Multiple (LCM) of 88018 and 88028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88018 and 88028. First we will calculate the prime factors of 88018 and 88028.

Prime Factorization of 88018

Prime factors of 88018 are 2, 7, 6287. Prime factorization of 88018 in exponential form is:

88018 = 21 × 71 × 62871

Prime Factorization of 88028

Prime factors of 88028 are 2, 59, 373. Prime factorization of 88028 in exponential form is:

88028 = 22 × 591 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 88018 and 88028.

LCM(88018,88028) = 22 × 71 × 62871 × 591 × 3731
LCM(88018,88028) = 3874024252