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What is the Least Common Multiple of 77171 and 77179?

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 77171 and 77179 is 5955980609.

LCM(77171,77179) = 5955980609

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Least Common Multiple of 77171 and 77179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77171 and 77179, than apply into the LCM equation.

GCF(77171,77179) = 1
LCM(77171,77179) = ( 77171 × 77179) / 1
LCM(77171,77179) = 5955980609 / 1
LCM(77171,77179) = 5955980609

Least Common Multiple (LCM) of 77171 and 77179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77171 and 77179. First we will calculate the prime factors of 77171 and 77179.

Prime Factorization of 77171

Prime factors of 77171 are 77171. Prime factorization of 77171 in exponential form is:

77171 = 771711

Prime Factorization of 77179

Prime factors of 77179 are 113, 683. Prime factorization of 77179 in exponential form is:

77179 = 1131 × 6831

Now multiplying the highest exponent prime factors to calculate the LCM of 77171 and 77179.

LCM(77171,77179) = 771711 × 1131 × 6831
LCM(77171,77179) = 5955980609