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What is the Least Common Multiple of 94235 and 94242?

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 94235 and 94242 is 8880894870.

LCM(94235,94242) = 8880894870

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Least Common Multiple of 94235 and 94242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94235 and 94242, than apply into the LCM equation.

GCF(94235,94242) = 1
LCM(94235,94242) = ( 94235 × 94242) / 1
LCM(94235,94242) = 8880894870 / 1
LCM(94235,94242) = 8880894870

Least Common Multiple (LCM) of 94235 and 94242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94235 and 94242. First we will calculate the prime factors of 94235 and 94242.

Prime Factorization of 94235

Prime factors of 94235 are 5, 47, 401. Prime factorization of 94235 in exponential form is:

94235 = 51 × 471 × 4011

Prime Factorization of 94242

Prime factors of 94242 are 2, 3, 113, 139. Prime factorization of 94242 in exponential form is:

94242 = 21 × 31 × 1131 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 94235 and 94242.

LCM(94235,94242) = 51 × 471 × 4011 × 21 × 31 × 1131 × 1391
LCM(94235,94242) = 8880894870