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What is the Least Common Multiple of 77167 and 77171?

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 77167 and 77171 is 5955054557.

LCM(77167,77171) = 5955054557

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Least Common Multiple of 77167 and 77171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77167 and 77171, than apply into the LCM equation.

GCF(77167,77171) = 1
LCM(77167,77171) = ( 77167 × 77171) / 1
LCM(77167,77171) = 5955054557 / 1
LCM(77167,77171) = 5955054557

Least Common Multiple (LCM) of 77167 and 77171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77167 and 77171. First we will calculate the prime factors of 77167 and 77171.

Prime Factorization of 77167

Prime factors of 77167 are 77167. Prime factorization of 77167 in exponential form is:

77167 = 771671

Prime Factorization of 77171

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

77171 = 771711

Now multiplying the highest exponent prime factors to calculate the LCM of 77167 and 77171.

LCM(77167,77171) = 771671 × 771711
LCM(77167,77171) = 5955054557