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What is the Least Common Multiple of 94105 and 94123?

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 94105 and 94123 is 8857444915.

LCM(94105,94123) = 8857444915

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Least Common Multiple of 94105 and 94123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94105 and 94123, than apply into the LCM equation.

GCF(94105,94123) = 1
LCM(94105,94123) = ( 94105 × 94123) / 1
LCM(94105,94123) = 8857444915 / 1
LCM(94105,94123) = 8857444915

Least Common Multiple (LCM) of 94105 and 94123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94105 and 94123. First we will calculate the prime factors of 94105 and 94123.

Prime Factorization of 94105

Prime factors of 94105 are 5, 11, 29, 59. Prime factorization of 94105 in exponential form is:

94105 = 51 × 111 × 291 × 591

Prime Factorization of 94123

Prime factors of 94123 are 61, 1543. Prime factorization of 94123 in exponential form is:

94123 = 611 × 15431

Now multiplying the highest exponent prime factors to calculate the LCM of 94105 and 94123.

LCM(94105,94123) = 51 × 111 × 291 × 591 × 611 × 15431
LCM(94105,94123) = 8857444915