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What is the Least Common Multiple of 77159 and 77177?

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 77159 and 77177 is 5954900143.

LCM(77159,77177) = 5954900143

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Least Common Multiple of 77159 and 77177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77159 and 77177, than apply into the LCM equation.

GCF(77159,77177) = 1
LCM(77159,77177) = ( 77159 × 77177) / 1
LCM(77159,77177) = 5954900143 / 1
LCM(77159,77177) = 5954900143

Least Common Multiple (LCM) of 77159 and 77177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77159 and 77177. First we will calculate the prime factors of 77159 and 77177.

Prime Factorization of 77159

Prime factors of 77159 are 19, 31, 131. Prime factorization of 77159 in exponential form is:

77159 = 191 × 311 × 1311

Prime Factorization of 77177

Prime factors of 77177 are 71, 1087. Prime factorization of 77177 in exponential form is:

77177 = 711 × 10871

Now multiplying the highest exponent prime factors to calculate the LCM of 77159 and 77177.

LCM(77159,77177) = 191 × 311 × 1311 × 711 × 10871
LCM(77159,77177) = 5954900143