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What is the Least Common Multiple of 97482 and 97487?

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 97482 and 97487 is 9503227734.

LCM(97482,97487) = 9503227734

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Least Common Multiple of 97482 and 97487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97482 and 97487, than apply into the LCM equation.

GCF(97482,97487) = 1
LCM(97482,97487) = ( 97482 × 97487) / 1
LCM(97482,97487) = 9503227734 / 1
LCM(97482,97487) = 9503227734

Least Common Multiple (LCM) of 97482 and 97487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97482 and 97487. First we will calculate the prime factors of 97482 and 97487.

Prime Factorization of 97482

Prime factors of 97482 are 2, 3, 7, 11, 211. Prime factorization of 97482 in exponential form is:

97482 = 21 × 31 × 71 × 111 × 2111

Prime Factorization of 97487

Prime factors of 97487 are 13, 7499. Prime factorization of 97487 in exponential form is:

97487 = 131 × 74991

Now multiplying the highest exponent prime factors to calculate the LCM of 97482 and 97487.

LCM(97482,97487) = 21 × 31 × 71 × 111 × 2111 × 131 × 74991
LCM(97482,97487) = 9503227734