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What is the Least Common Multiple of 94221 and 94237?

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 94221 and 94237 is 8879104377.

LCM(94221,94237) = 8879104377

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Least Common Multiple of 94221 and 94237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94221 and 94237, than apply into the LCM equation.

GCF(94221,94237) = 1
LCM(94221,94237) = ( 94221 × 94237) / 1
LCM(94221,94237) = 8879104377 / 1
LCM(94221,94237) = 8879104377

Least Common Multiple (LCM) of 94221 and 94237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94221 and 94237. First we will calculate the prime factors of 94221 and 94237.

Prime Factorization of 94221

Prime factors of 94221 are 3, 19, 29. Prime factorization of 94221 in exponential form is:

94221 = 32 × 192 × 291

Prime Factorization of 94237

Prime factors of 94237 are 11, 13, 659. Prime factorization of 94237 in exponential form is:

94237 = 111 × 131 × 6591

Now multiplying the highest exponent prime factors to calculate the LCM of 94221 and 94237.

LCM(94221,94237) = 32 × 192 × 291 × 111 × 131 × 6591
LCM(94221,94237) = 8879104377