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What is the Least Common Multiple of 77098 and 77118?

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 77098 and 77118 is 2972821782.

LCM(77098,77118) = 2972821782

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Least Common Multiple of 77098 and 77118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77098 and 77118, than apply into the LCM equation.

GCF(77098,77118) = 2
LCM(77098,77118) = ( 77098 × 77118) / 2
LCM(77098,77118) = 5945643564 / 2
LCM(77098,77118) = 2972821782

Least Common Multiple (LCM) of 77098 and 77118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77098 and 77118. First we will calculate the prime factors of 77098 and 77118.

Prime Factorization of 77098

Prime factors of 77098 are 2, 7, 5507. Prime factorization of 77098 in exponential form is:

77098 = 21 × 71 × 55071

Prime Factorization of 77118

Prime factors of 77118 are 2, 3, 12853. Prime factorization of 77118 in exponential form is:

77118 = 21 × 31 × 128531

Now multiplying the highest exponent prime factors to calculate the LCM of 77098 and 77118.

LCM(77098,77118) = 21 × 71 × 55071 × 31 × 128531
LCM(77098,77118) = 2972821782