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What is the Least Common Multiple of 97072 and 97081?

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 97072 and 97081 is 9423846832.

LCM(97072,97081) = 9423846832

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Least Common Multiple of 97072 and 97081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97072 and 97081, than apply into the LCM equation.

GCF(97072,97081) = 1
LCM(97072,97081) = ( 97072 × 97081) / 1
LCM(97072,97081) = 9423846832 / 1
LCM(97072,97081) = 9423846832

Least Common Multiple (LCM) of 97072 and 97081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97072 and 97081. First we will calculate the prime factors of 97072 and 97081.

Prime Factorization of 97072

Prime factors of 97072 are 2, 6067. Prime factorization of 97072 in exponential form is:

97072 = 24 × 60671

Prime Factorization of 97081

Prime factors of 97081 are 97081. Prime factorization of 97081 in exponential form is:

97081 = 970811

Now multiplying the highest exponent prime factors to calculate the LCM of 97072 and 97081.

LCM(97072,97081) = 24 × 60671 × 970811
LCM(97072,97081) = 9423846832