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What is the Least Common Multiple of 65063 and 65070?

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 65063 and 65070 is 4233649410.

LCM(65063,65070) = 4233649410

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Least Common Multiple of 65063 and 65070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65063 and 65070, than apply into the LCM equation.

GCF(65063,65070) = 1
LCM(65063,65070) = ( 65063 × 65070) / 1
LCM(65063,65070) = 4233649410 / 1
LCM(65063,65070) = 4233649410

Least Common Multiple (LCM) of 65063 and 65070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65063 and 65070. First we will calculate the prime factors of 65063 and 65070.

Prime Factorization of 65063

Prime factors of 65063 are 65063. Prime factorization of 65063 in exponential form is:

65063 = 650631

Prime Factorization of 65070

Prime factors of 65070 are 2, 3, 5, 241. Prime factorization of 65070 in exponential form is:

65070 = 21 × 33 × 51 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 65063 and 65070.

LCM(65063,65070) = 650631 × 21 × 33 × 51 × 2411
LCM(65063,65070) = 4233649410