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What is the Least Common Multiple of 6070 and 6077?

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 6070 and 6077 is 36887390.

LCM(6070,6077) = 36887390

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Least Common Multiple of 6070 and 6077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6070 and 6077, than apply into the LCM equation.

GCF(6070,6077) = 1
LCM(6070,6077) = ( 6070 × 6077) / 1
LCM(6070,6077) = 36887390 / 1
LCM(6070,6077) = 36887390

Least Common Multiple (LCM) of 6070 and 6077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6070 and 6077. First we will calculate the prime factors of 6070 and 6077.

Prime Factorization of 6070

Prime factors of 6070 are 2, 5, 607. Prime factorization of 6070 in exponential form is:

6070 = 21 × 51 × 6071

Prime Factorization of 6077

Prime factors of 6077 are 59, 103. Prime factorization of 6077 in exponential form is:

6077 = 591 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 6070 and 6077.

LCM(6070,6077) = 21 × 51 × 6071 × 591 × 1031
LCM(6070,6077) = 36887390