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What is the Least Common Multiple of 88189 and 88202?

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 88189 and 88202 is 7778446178.

LCM(88189,88202) = 7778446178

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Least Common Multiple of 88189 and 88202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88189 and 88202, than apply into the LCM equation.

GCF(88189,88202) = 1
LCM(88189,88202) = ( 88189 × 88202) / 1
LCM(88189,88202) = 7778446178 / 1
LCM(88189,88202) = 7778446178

Least Common Multiple (LCM) of 88189 and 88202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88189 and 88202. First we will calculate the prime factors of 88189 and 88202.

Prime Factorization of 88189

Prime factors of 88189 are 29, 3041. Prime factorization of 88189 in exponential form is:

88189 = 291 × 30411

Prime Factorization of 88202

Prime factors of 88202 are 2, 44101. Prime factorization of 88202 in exponential form is:

88202 = 21 × 441011

Now multiplying the highest exponent prime factors to calculate the LCM of 88189 and 88202.

LCM(88189,88202) = 291 × 30411 × 21 × 441011
LCM(88189,88202) = 7778446178