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What is the Least Common Multiple of 77093 and 77100?

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 77093 and 77100 is 5943870300.

LCM(77093,77100) = 5943870300

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Least Common Multiple of 77093 and 77100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77093 and 77100, than apply into the LCM equation.

GCF(77093,77100) = 1
LCM(77093,77100) = ( 77093 × 77100) / 1
LCM(77093,77100) = 5943870300 / 1
LCM(77093,77100) = 5943870300

Least Common Multiple (LCM) of 77093 and 77100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77093 and 77100. First we will calculate the prime factors of 77093 and 77100.

Prime Factorization of 77093

Prime factors of 77093 are 77093. Prime factorization of 77093 in exponential form is:

77093 = 770931

Prime Factorization of 77100

Prime factors of 77100 are 2, 3, 5, 257. Prime factorization of 77100 in exponential form is:

77100 = 22 × 31 × 52 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 77093 and 77100.

LCM(77093,77100) = 770931 × 22 × 31 × 52 × 2571
LCM(77093,77100) = 5943870300