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What is the Least Common Multiple of 94137 and 94156?

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 94137 and 94156 is 8863563372.

LCM(94137,94156) = 8863563372

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Least Common Multiple of 94137 and 94156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94137 and 94156, than apply into the LCM equation.

GCF(94137,94156) = 1
LCM(94137,94156) = ( 94137 × 94156) / 1
LCM(94137,94156) = 8863563372 / 1
LCM(94137,94156) = 8863563372

Least Common Multiple (LCM) of 94137 and 94156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94137 and 94156. First we will calculate the prime factors of 94137 and 94156.

Prime Factorization of 94137

Prime factors of 94137 are 3, 31379. Prime factorization of 94137 in exponential form is:

94137 = 31 × 313791

Prime Factorization of 94156

Prime factors of 94156 are 2, 23539. Prime factorization of 94156 in exponential form is:

94156 = 22 × 235391

Now multiplying the highest exponent prime factors to calculate the LCM of 94137 and 94156.

LCM(94137,94156) = 31 × 313791 × 22 × 235391
LCM(94137,94156) = 8863563372