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What is the Least Common Multiple of 63070 and 63077?

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 63070 and 63077 is 568323770.

LCM(63070,63077) = 568323770

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Least Common Multiple of 63070 and 63077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63070 and 63077, than apply into the LCM equation.

GCF(63070,63077) = 7
LCM(63070,63077) = ( 63070 × 63077) / 7
LCM(63070,63077) = 3978266390 / 7
LCM(63070,63077) = 568323770

Least Common Multiple (LCM) of 63070 and 63077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63070 and 63077. First we will calculate the prime factors of 63070 and 63077.

Prime Factorization of 63070

Prime factors of 63070 are 2, 5, 7, 17, 53. Prime factorization of 63070 in exponential form is:

63070 = 21 × 51 × 71 × 171 × 531

Prime Factorization of 63077

Prime factors of 63077 are 7, 9011. Prime factorization of 63077 in exponential form is:

63077 = 71 × 90111

Now multiplying the highest exponent prime factors to calculate the LCM of 63070 and 63077.

LCM(63070,63077) = 21 × 51 × 71 × 171 × 531 × 90111
LCM(63070,63077) = 568323770