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What is the Least Common Multiple of 92026 and 92042?

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 92026 and 92042 is 4235128546.

LCM(92026,92042) = 4235128546

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Least Common Multiple of 92026 and 92042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92026 and 92042, than apply into the LCM equation.

GCF(92026,92042) = 2
LCM(92026,92042) = ( 92026 × 92042) / 2
LCM(92026,92042) = 8470257092 / 2
LCM(92026,92042) = 4235128546

Least Common Multiple (LCM) of 92026 and 92042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92026 and 92042. First we will calculate the prime factors of 92026 and 92042.

Prime Factorization of 92026

Prime factors of 92026 are 2, 11, 47, 89. Prime factorization of 92026 in exponential form is:

92026 = 21 × 111 × 471 × 891

Prime Factorization of 92042

Prime factors of 92042 are 2, 46021. Prime factorization of 92042 in exponential form is:

92042 = 21 × 460211

Now multiplying the highest exponent prime factors to calculate the LCM of 92026 and 92042.

LCM(92026,92042) = 21 × 111 × 471 × 891 × 460211
LCM(92026,92042) = 4235128546