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What is the Least Common Multiple of 68572 and 68590?

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 68572 and 68590 is 2351676740.

LCM(68572,68590) = 2351676740

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Least Common Multiple of 68572 and 68590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68572 and 68590, than apply into the LCM equation.

GCF(68572,68590) = 2
LCM(68572,68590) = ( 68572 × 68590) / 2
LCM(68572,68590) = 4703353480 / 2
LCM(68572,68590) = 2351676740

Least Common Multiple (LCM) of 68572 and 68590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68572 and 68590. First we will calculate the prime factors of 68572 and 68590.

Prime Factorization of 68572

Prime factors of 68572 are 2, 7, 31, 79. Prime factorization of 68572 in exponential form is:

68572 = 22 × 71 × 311 × 791

Prime Factorization of 68590

Prime factors of 68590 are 2, 5, 19. Prime factorization of 68590 in exponential form is:

68590 = 21 × 51 × 193

Now multiplying the highest exponent prime factors to calculate the LCM of 68572 and 68590.

LCM(68572,68590) = 22 × 71 × 311 × 791 × 51 × 193
LCM(68572,68590) = 2351676740