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What is the Least Common Multiple of 94142 and 94150?

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 94142 and 94150 is 4431734650.

LCM(94142,94150) = 4431734650

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Least Common Multiple of 94142 and 94150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94142 and 94150, than apply into the LCM equation.

GCF(94142,94150) = 2
LCM(94142,94150) = ( 94142 × 94150) / 2
LCM(94142,94150) = 8863469300 / 2
LCM(94142,94150) = 4431734650

Least Common Multiple (LCM) of 94142 and 94150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94142 and 94150. First we will calculate the prime factors of 94142 and 94150.

Prime Factorization of 94142

Prime factors of 94142 are 2, 103, 457. Prime factorization of 94142 in exponential form is:

94142 = 21 × 1031 × 4571

Prime Factorization of 94150

Prime factors of 94150 are 2, 5, 7, 269. Prime factorization of 94150 in exponential form is:

94150 = 21 × 52 × 71 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 94142 and 94150.

LCM(94142,94150) = 21 × 1031 × 4571 × 52 × 71 × 2691
LCM(94142,94150) = 4431734650