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What is the Least Common Multiple of 73063 and 73070?

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 73063 and 73070 is 5338713410.

LCM(73063,73070) = 5338713410

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Least Common Multiple of 73063 and 73070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73063 and 73070, than apply into the LCM equation.

GCF(73063,73070) = 1
LCM(73063,73070) = ( 73063 × 73070) / 1
LCM(73063,73070) = 5338713410 / 1
LCM(73063,73070) = 5338713410

Least Common Multiple (LCM) of 73063 and 73070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73063 and 73070. First we will calculate the prime factors of 73063 and 73070.

Prime Factorization of 73063

Prime factors of 73063 are 73063. Prime factorization of 73063 in exponential form is:

73063 = 730631

Prime Factorization of 73070

Prime factors of 73070 are 2, 5, 7307. Prime factorization of 73070 in exponential form is:

73070 = 21 × 51 × 73071

Now multiplying the highest exponent prime factors to calculate the LCM of 73063 and 73070.

LCM(73063,73070) = 730631 × 21 × 51 × 73071
LCM(73063,73070) = 5338713410