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What is the Least Common Multiple of 94276 and 94282?

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 94276 and 94282 is 4444264916.

LCM(94276,94282) = 4444264916

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Least Common Multiple of 94276 and 94282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94276 and 94282, than apply into the LCM equation.

GCF(94276,94282) = 2
LCM(94276,94282) = ( 94276 × 94282) / 2
LCM(94276,94282) = 8888529832 / 2
LCM(94276,94282) = 4444264916

Least Common Multiple (LCM) of 94276 and 94282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94276 and 94282. First we will calculate the prime factors of 94276 and 94282.

Prime Factorization of 94276

Prime factors of 94276 are 2, 7, 13, 37. Prime factorization of 94276 in exponential form is:

94276 = 22 × 72 × 131 × 371

Prime Factorization of 94282

Prime factors of 94282 are 2, 17, 47, 59. Prime factorization of 94282 in exponential form is:

94282 = 21 × 171 × 471 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 94276 and 94282.

LCM(94276,94282) = 22 × 72 × 131 × 371 × 171 × 471 × 591
LCM(94276,94282) = 4444264916