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What is the Least Common Multiple of 97043 and 97060?

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 97043 and 97060 is 9418993580.

LCM(97043,97060) = 9418993580

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Least Common Multiple of 97043 and 97060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97043 and 97060, than apply into the LCM equation.

GCF(97043,97060) = 1
LCM(97043,97060) = ( 97043 × 97060) / 1
LCM(97043,97060) = 9418993580 / 1
LCM(97043,97060) = 9418993580

Least Common Multiple (LCM) of 97043 and 97060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97043 and 97060. First we will calculate the prime factors of 97043 and 97060.

Prime Factorization of 97043

Prime factors of 97043 are 53, 1831. Prime factorization of 97043 in exponential form is:

97043 = 531 × 18311

Prime Factorization of 97060

Prime factors of 97060 are 2, 5, 23, 211. Prime factorization of 97060 in exponential form is:

97060 = 22 × 51 × 231 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 97043 and 97060.

LCM(97043,97060) = 531 × 18311 × 22 × 51 × 231 × 2111
LCM(97043,97060) = 9418993580