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What is the Least Common Multiple of 80072 and 80081?

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 80072 and 80081 is 6412245832.

LCM(80072,80081) = 6412245832

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Least Common Multiple of 80072 and 80081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80072 and 80081, than apply into the LCM equation.

GCF(80072,80081) = 1
LCM(80072,80081) = ( 80072 × 80081) / 1
LCM(80072,80081) = 6412245832 / 1
LCM(80072,80081) = 6412245832

Least Common Multiple (LCM) of 80072 and 80081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80072 and 80081. First we will calculate the prime factors of 80072 and 80081.

Prime Factorization of 80072

Prime factors of 80072 are 2, 10009. Prime factorization of 80072 in exponential form is:

80072 = 23 × 100091

Prime Factorization of 80081

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

80081 = 731 × 10971

Now multiplying the highest exponent prime factors to calculate the LCM of 80072 and 80081.

LCM(80072,80081) = 23 × 100091 × 731 × 10971
LCM(80072,80081) = 6412245832