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What is the Least Common Multiple of 80081 and 80101?

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 80081 and 80101 is 6414568181.

LCM(80081,80101) = 6414568181

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Least Common Multiple of 80081 and 80101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80081 and 80101, than apply into the LCM equation.

GCF(80081,80101) = 1
LCM(80081,80101) = ( 80081 × 80101) / 1
LCM(80081,80101) = 6414568181 / 1
LCM(80081,80101) = 6414568181

Least Common Multiple (LCM) of 80081 and 80101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80081 and 80101. First we will calculate the prime factors of 80081 and 80101.

Prime Factorization of 80081

Prime factors of 80081 are 73, 1097. Prime factorization of 80081 in exponential form is:

80081 = 731 × 10971

Prime Factorization of 80101

Prime factors of 80101 are 7, 11443. Prime factorization of 80101 in exponential form is:

80101 = 71 × 114431

Now multiplying the highest exponent prime factors to calculate the LCM of 80081 and 80101.

LCM(80081,80101) = 731 × 10971 × 71 × 114431
LCM(80081,80101) = 6414568181