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What is the Least Common Multiple of 9401 and 9410?

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 9401 and 9410 is 88463410.

LCM(9401,9410) = 88463410

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Least Common Multiple of 9401 and 9410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9401 and 9410, than apply into the LCM equation.

GCF(9401,9410) = 1
LCM(9401,9410) = ( 9401 × 9410) / 1
LCM(9401,9410) = 88463410 / 1
LCM(9401,9410) = 88463410

Least Common Multiple (LCM) of 9401 and 9410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9401 and 9410. First we will calculate the prime factors of 9401 and 9410.

Prime Factorization of 9401

Prime factors of 9401 are 7, 17, 79. Prime factorization of 9401 in exponential form is:

9401 = 71 × 171 × 791

Prime Factorization of 9410

Prime factors of 9410 are 2, 5, 941. Prime factorization of 9410 in exponential form is:

9410 = 21 × 51 × 9411

Now multiplying the highest exponent prime factors to calculate the LCM of 9401 and 9410.

LCM(9401,9410) = 71 × 171 × 791 × 21 × 51 × 9411
LCM(9401,9410) = 88463410