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What is the Least Common Multiple of 41938 and 41956?

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 41938 and 41956 is 879775364.

LCM(41938,41956) = 879775364

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Least Common Multiple of 41938 and 41956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41938 and 41956, than apply into the LCM equation.

GCF(41938,41956) = 2
LCM(41938,41956) = ( 41938 × 41956) / 2
LCM(41938,41956) = 1759550728 / 2
LCM(41938,41956) = 879775364

Least Common Multiple (LCM) of 41938 and 41956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41938 and 41956. First we will calculate the prime factors of 41938 and 41956.

Prime Factorization of 41938

Prime factors of 41938 are 2, 13, 1613. Prime factorization of 41938 in exponential form is:

41938 = 21 × 131 × 16131

Prime Factorization of 41956

Prime factors of 41956 are 2, 17, 617. Prime factorization of 41956 in exponential form is:

41956 = 22 × 171 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 41938 and 41956.

LCM(41938,41956) = 22 × 131 × 16131 × 171 × 6171
LCM(41938,41956) = 879775364