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What is the Least Common Multiple of 77030 and 77036?

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 77030 and 77036 is 2967041540.

LCM(77030,77036) = 2967041540

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Least Common Multiple of 77030 and 77036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77030 and 77036, than apply into the LCM equation.

GCF(77030,77036) = 2
LCM(77030,77036) = ( 77030 × 77036) / 2
LCM(77030,77036) = 5934083080 / 2
LCM(77030,77036) = 2967041540

Least Common Multiple (LCM) of 77030 and 77036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77030 and 77036. First we will calculate the prime factors of 77030 and 77036.

Prime Factorization of 77030

Prime factors of 77030 are 2, 5, 7703. Prime factorization of 77030 in exponential form is:

77030 = 21 × 51 × 77031

Prime Factorization of 77036

Prime factors of 77036 are 2, 19259. Prime factorization of 77036 in exponential form is:

77036 = 22 × 192591

Now multiplying the highest exponent prime factors to calculate the LCM of 77030 and 77036.

LCM(77030,77036) = 22 × 51 × 77031 × 192591
LCM(77030,77036) = 2967041540