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What is the Least Common Multiple of 42026 and 42043?

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 42026 and 42043 is 1766899118.

LCM(42026,42043) = 1766899118

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Least Common Multiple of 42026 and 42043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42026 and 42043, than apply into the LCM equation.

GCF(42026,42043) = 1
LCM(42026,42043) = ( 42026 × 42043) / 1
LCM(42026,42043) = 1766899118 / 1
LCM(42026,42043) = 1766899118

Least Common Multiple (LCM) of 42026 and 42043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42026 and 42043. First we will calculate the prime factors of 42026 and 42043.

Prime Factorization of 42026

Prime factors of 42026 are 2, 21013. Prime factorization of 42026 in exponential form is:

42026 = 21 × 210131

Prime Factorization of 42043

Prime factors of 42043 are 42043. Prime factorization of 42043 in exponential form is:

42043 = 420431

Now multiplying the highest exponent prime factors to calculate the LCM of 42026 and 42043.

LCM(42026,42043) = 21 × 210131 × 420431
LCM(42026,42043) = 1766899118