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What is the Least Common Multiple of 97018 and 97033?

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 97018 and 97033 is 9413947594.

LCM(97018,97033) = 9413947594

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Least Common Multiple of 97018 and 97033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97018 and 97033, than apply into the LCM equation.

GCF(97018,97033) = 1
LCM(97018,97033) = ( 97018 × 97033) / 1
LCM(97018,97033) = 9413947594 / 1
LCM(97018,97033) = 9413947594

Least Common Multiple (LCM) of 97018 and 97033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97018 and 97033. First we will calculate the prime factors of 97018 and 97033.

Prime Factorization of 97018

Prime factors of 97018 are 2, 179, 271. Prime factorization of 97018 in exponential form is:

97018 = 21 × 1791 × 2711

Prime Factorization of 97033

Prime factors of 97033 are 19, 5107. Prime factorization of 97033 in exponential form is:

97033 = 191 × 51071

Now multiplying the highest exponent prime factors to calculate the LCM of 97018 and 97033.

LCM(97018,97033) = 21 × 1791 × 2711 × 191 × 51071
LCM(97018,97033) = 9413947594