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What is the Least Common Multiple of 97262 and 97277?

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 97262 and 97277 is 9461355574.

LCM(97262,97277) = 9461355574

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Least Common Multiple of 97262 and 97277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97262 and 97277, than apply into the LCM equation.

GCF(97262,97277) = 1
LCM(97262,97277) = ( 97262 × 97277) / 1
LCM(97262,97277) = 9461355574 / 1
LCM(97262,97277) = 9461355574

Least Common Multiple (LCM) of 97262 and 97277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97262 and 97277. First we will calculate the prime factors of 97262 and 97277.

Prime Factorization of 97262

Prime factors of 97262 are 2, 11, 4421. Prime factorization of 97262 in exponential form is:

97262 = 21 × 111 × 44211

Prime Factorization of 97277

Prime factors of 97277 are 89, 1093. Prime factorization of 97277 in exponential form is:

97277 = 891 × 10931

Now multiplying the highest exponent prime factors to calculate the LCM of 97262 and 97277.

LCM(97262,97277) = 21 × 111 × 44211 × 891 × 10931
LCM(97262,97277) = 9461355574