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What is the Least Common Multiple of 94288 and 94306?

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 94288 and 94306 is 4445962064.

LCM(94288,94306) = 4445962064

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Least Common Multiple of 94288 and 94306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94288 and 94306, than apply into the LCM equation.

GCF(94288,94306) = 2
LCM(94288,94306) = ( 94288 × 94306) / 2
LCM(94288,94306) = 8891924128 / 2
LCM(94288,94306) = 4445962064

Least Common Multiple (LCM) of 94288 and 94306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94288 and 94306. First we will calculate the prime factors of 94288 and 94306.

Prime Factorization of 94288

Prime factors of 94288 are 2, 71, 83. Prime factorization of 94288 in exponential form is:

94288 = 24 × 711 × 831

Prime Factorization of 94306

Prime factors of 94306 are 2, 61, 773. Prime factorization of 94306 in exponential form is:

94306 = 21 × 611 × 7731

Now multiplying the highest exponent prime factors to calculate the LCM of 94288 and 94306.

LCM(94288,94306) = 24 × 711 × 831 × 611 × 7731
LCM(94288,94306) = 4445962064