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What is the Least Common Multiple of 94235 and 94247?

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 94235 and 94247 is 8881366045.

LCM(94235,94247) = 8881366045

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Least Common Multiple of 94235 and 94247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94235 and 94247, than apply into the LCM equation.

GCF(94235,94247) = 1
LCM(94235,94247) = ( 94235 × 94247) / 1
LCM(94235,94247) = 8881366045 / 1
LCM(94235,94247) = 8881366045

Least Common Multiple (LCM) of 94235 and 94247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94235 and 94247. First we will calculate the prime factors of 94235 and 94247.

Prime Factorization of 94235

Prime factors of 94235 are 5, 47, 401. Prime factorization of 94235 in exponential form is:

94235 = 51 × 471 × 4011

Prime Factorization of 94247

Prime factors of 94247 are 79, 1193. Prime factorization of 94247 in exponential form is:

94247 = 791 × 11931

Now multiplying the highest exponent prime factors to calculate the LCM of 94235 and 94247.

LCM(94235,94247) = 51 × 471 × 4011 × 791 × 11931
LCM(94235,94247) = 8881366045