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What is the Least Common Multiple of 94228 and 94246?

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 94228 and 94246 is 4440306044.

LCM(94228,94246) = 4440306044

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Least Common Multiple of 94228 and 94246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94228 and 94246, than apply into the LCM equation.

GCF(94228,94246) = 2
LCM(94228,94246) = ( 94228 × 94246) / 2
LCM(94228,94246) = 8880612088 / 2
LCM(94228,94246) = 4440306044

Least Common Multiple (LCM) of 94228 and 94246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94228 and 94246. First we will calculate the prime factors of 94228 and 94246.

Prime Factorization of 94228

Prime factors of 94228 are 2, 23557. Prime factorization of 94228 in exponential form is:

94228 = 22 × 235571

Prime Factorization of 94246

Prime factors of 94246 are 2, 47123. Prime factorization of 94246 in exponential form is:

94246 = 21 × 471231

Now multiplying the highest exponent prime factors to calculate the LCM of 94228 and 94246.

LCM(94228,94246) = 22 × 235571 × 471231
LCM(94228,94246) = 4440306044