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What is the Least Common Multiple of 97471 and 97476?

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 97471 and 97476 is 9501083196.

LCM(97471,97476) = 9501083196

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Least Common Multiple of 97471 and 97476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97471 and 97476, than apply into the LCM equation.

GCF(97471,97476) = 1
LCM(97471,97476) = ( 97471 × 97476) / 1
LCM(97471,97476) = 9501083196 / 1
LCM(97471,97476) = 9501083196

Least Common Multiple (LCM) of 97471 and 97476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97471 and 97476. First we will calculate the prime factors of 97471 and 97476.

Prime Factorization of 97471

Prime factors of 97471 are 11, 8861. Prime factorization of 97471 in exponential form is:

97471 = 111 × 88611

Prime Factorization of 97476

Prime factors of 97476 are 2, 3, 8123. Prime factorization of 97476 in exponential form is:

97476 = 22 × 31 × 81231

Now multiplying the highest exponent prime factors to calculate the LCM of 97471 and 97476.

LCM(97471,97476) = 111 × 88611 × 22 × 31 × 81231
LCM(97471,97476) = 9501083196