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What is the Least Common Multiple of 77103 and 77114?

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 77103 and 77114 is 5945720742.

LCM(77103,77114) = 5945720742

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Least Common Multiple of 77103 and 77114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77103 and 77114, than apply into the LCM equation.

GCF(77103,77114) = 1
LCM(77103,77114) = ( 77103 × 77114) / 1
LCM(77103,77114) = 5945720742 / 1
LCM(77103,77114) = 5945720742

Least Common Multiple (LCM) of 77103 and 77114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77103 and 77114. First we will calculate the prime factors of 77103 and 77114.

Prime Factorization of 77103

Prime factors of 77103 are 3, 13, 659. Prime factorization of 77103 in exponential form is:

77103 = 32 × 131 × 6591

Prime Factorization of 77114

Prime factors of 77114 are 2, 38557. Prime factorization of 77114 in exponential form is:

77114 = 21 × 385571

Now multiplying the highest exponent prime factors to calculate the LCM of 77103 and 77114.

LCM(77103,77114) = 32 × 131 × 6591 × 21 × 385571
LCM(77103,77114) = 5945720742