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What is the Least Common Multiple of 8070 and 8077?

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 8070 and 8077 is 65181390.

LCM(8070,8077) = 65181390

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Least Common Multiple of 8070 and 8077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8070 and 8077, than apply into the LCM equation.

GCF(8070,8077) = 1
LCM(8070,8077) = ( 8070 × 8077) / 1
LCM(8070,8077) = 65181390 / 1
LCM(8070,8077) = 65181390

Least Common Multiple (LCM) of 8070 and 8077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8070 and 8077. First we will calculate the prime factors of 8070 and 8077.

Prime Factorization of 8070

Prime factors of 8070 are 2, 3, 5, 269. Prime factorization of 8070 in exponential form is:

8070 = 21 × 31 × 51 × 2691

Prime Factorization of 8077

Prime factors of 8077 are 41, 197. Prime factorization of 8077 in exponential form is:

8077 = 411 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 8070 and 8077.

LCM(8070,8077) = 21 × 31 × 51 × 2691 × 411 × 1971
LCM(8070,8077) = 65181390