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What is the Least Common Multiple of 94043 and 94050?

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 94043 and 94050 is 8844744150.

LCM(94043,94050) = 8844744150

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Least Common Multiple of 94043 and 94050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94043 and 94050, than apply into the LCM equation.

GCF(94043,94050) = 1
LCM(94043,94050) = ( 94043 × 94050) / 1
LCM(94043,94050) = 8844744150 / 1
LCM(94043,94050) = 8844744150

Least Common Multiple (LCM) of 94043 and 94050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94043 and 94050. First we will calculate the prime factors of 94043 and 94050.

Prime Factorization of 94043

Prime factors of 94043 are 157, 599. Prime factorization of 94043 in exponential form is:

94043 = 1571 × 5991

Prime Factorization of 94050

Prime factors of 94050 are 2, 3, 5, 11, 19. Prime factorization of 94050 in exponential form is:

94050 = 21 × 32 × 52 × 111 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 94043 and 94050.

LCM(94043,94050) = 1571 × 5991 × 21 × 32 × 52 × 111 × 191
LCM(94043,94050) = 8844744150