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What is the Least Common Multiple of 94232 and 94244?

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 94232 and 94244 is 2220200152.

LCM(94232,94244) = 2220200152

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Least Common Multiple of 94232 and 94244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94232 and 94244, than apply into the LCM equation.

GCF(94232,94244) = 4
LCM(94232,94244) = ( 94232 × 94244) / 4
LCM(94232,94244) = 8880800608 / 4
LCM(94232,94244) = 2220200152

Least Common Multiple (LCM) of 94232 and 94244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94232 and 94244. First we will calculate the prime factors of 94232 and 94244.

Prime Factorization of 94232

Prime factors of 94232 are 2, 11779. Prime factorization of 94232 in exponential form is:

94232 = 23 × 117791

Prime Factorization of 94244

Prime factors of 94244 are 2, 23561. Prime factorization of 94244 in exponential form is:

94244 = 22 × 235611

Now multiplying the highest exponent prime factors to calculate the LCM of 94232 and 94244.

LCM(94232,94244) = 23 × 117791 × 235611
LCM(94232,94244) = 2220200152