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What is the Least Common Multiple of 94744 and 94753?

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 94744 and 94753 is 8977278232.

LCM(94744,94753) = 8977278232

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Least Common Multiple of 94744 and 94753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94744 and 94753, than apply into the LCM equation.

GCF(94744,94753) = 1
LCM(94744,94753) = ( 94744 × 94753) / 1
LCM(94744,94753) = 8977278232 / 1
LCM(94744,94753) = 8977278232

Least Common Multiple (LCM) of 94744 and 94753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94744 and 94753. First we will calculate the prime factors of 94744 and 94753.

Prime Factorization of 94744

Prime factors of 94744 are 2, 13, 911. Prime factorization of 94744 in exponential form is:

94744 = 23 × 131 × 9111

Prime Factorization of 94753

Prime factors of 94753 are 19, 4987. Prime factorization of 94753 in exponential form is:

94753 = 191 × 49871

Now multiplying the highest exponent prime factors to calculate the LCM of 94744 and 94753.

LCM(94744,94753) = 23 × 131 × 9111 × 191 × 49871
LCM(94744,94753) = 8977278232