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What is the Least Common Multiple of 97453 and 97461?

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 97453 and 97461 is 9497866833.

LCM(97453,97461) = 9497866833

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Least Common Multiple of 97453 and 97461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97453 and 97461, than apply into the LCM equation.

GCF(97453,97461) = 1
LCM(97453,97461) = ( 97453 × 97461) / 1
LCM(97453,97461) = 9497866833 / 1
LCM(97453,97461) = 9497866833

Least Common Multiple (LCM) of 97453 and 97461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97453 and 97461. First we will calculate the prime factors of 97453 and 97461.

Prime Factorization of 97453

Prime factors of 97453 are 97453. Prime factorization of 97453 in exponential form is:

97453 = 974531

Prime Factorization of 97461

Prime factors of 97461 are 3, 7, 13, 17. Prime factorization of 97461 in exponential form is:

97461 = 32 × 72 × 131 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 97453 and 97461.

LCM(97453,97461) = 974531 × 32 × 72 × 131 × 171
LCM(97453,97461) = 9497866833