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What is the Least Common Multiple of 41918 and 41927?

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 41918 and 41927 is 1757495986.

LCM(41918,41927) = 1757495986

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Least Common Multiple of 41918 and 41927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41918 and 41927, than apply into the LCM equation.

GCF(41918,41927) = 1
LCM(41918,41927) = ( 41918 × 41927) / 1
LCM(41918,41927) = 1757495986 / 1
LCM(41918,41927) = 1757495986

Least Common Multiple (LCM) of 41918 and 41927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41918 and 41927. First we will calculate the prime factors of 41918 and 41927.

Prime Factorization of 41918

Prime factors of 41918 are 2, 20959. Prime factorization of 41918 in exponential form is:

41918 = 21 × 209591

Prime Factorization of 41927

Prime factors of 41927 are 41927. Prime factorization of 41927 in exponential form is:

41927 = 419271

Now multiplying the highest exponent prime factors to calculate the LCM of 41918 and 41927.

LCM(41918,41927) = 21 × 209591 × 419271
LCM(41918,41927) = 1757495986