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What is the Least Common Multiple of 95248 and 95257?

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 95248 and 95257 is 9073038736.

LCM(95248,95257) = 9073038736

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Least Common Multiple of 95248 and 95257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95248 and 95257, than apply into the LCM equation.

GCF(95248,95257) = 1
LCM(95248,95257) = ( 95248 × 95257) / 1
LCM(95248,95257) = 9073038736 / 1
LCM(95248,95257) = 9073038736

Least Common Multiple (LCM) of 95248 and 95257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95248 and 95257. First we will calculate the prime factors of 95248 and 95257.

Prime Factorization of 95248

Prime factors of 95248 are 2, 5953. Prime factorization of 95248 in exponential form is:

95248 = 24 × 59531

Prime Factorization of 95257

Prime factors of 95257 are 95257. Prime factorization of 95257 in exponential form is:

95257 = 952571

Now multiplying the highest exponent prime factors to calculate the LCM of 95248 and 95257.

LCM(95248,95257) = 24 × 59531 × 952571
LCM(95248,95257) = 9073038736