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What is the Least Common Multiple of 97844 and 97855?

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 97844 and 97855 is 9574524620.

LCM(97844,97855) = 9574524620

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Least Common Multiple of 97844 and 97855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97844 and 97855, than apply into the LCM equation.

GCF(97844,97855) = 1
LCM(97844,97855) = ( 97844 × 97855) / 1
LCM(97844,97855) = 9574524620 / 1
LCM(97844,97855) = 9574524620

Least Common Multiple (LCM) of 97844 and 97855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97844 and 97855. First we will calculate the prime factors of 97844 and 97855.

Prime Factorization of 97844

Prime factors of 97844 are 2, 61, 401. Prime factorization of 97844 in exponential form is:

97844 = 22 × 611 × 4011

Prime Factorization of 97855

Prime factors of 97855 are 5, 19571. Prime factorization of 97855 in exponential form is:

97855 = 51 × 195711

Now multiplying the highest exponent prime factors to calculate the LCM of 97844 and 97855.

LCM(97844,97855) = 22 × 611 × 4011 × 51 × 195711
LCM(97844,97855) = 9574524620