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What is the Least Common Multiple of 41921 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 41921 and 41927 is 1757621767.

LCM(41921,41927) = 1757621767

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Least Common Multiple of 41921 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 41921 and 41927, than apply into the LCM equation.

GCF(41921,41927) = 1
LCM(41921,41927) = ( 41921 × 41927) / 1
LCM(41921,41927) = 1757621767 / 1
LCM(41921,41927) = 1757621767

Least Common Multiple (LCM) of 41921 and 41927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41921 and 41927. First we will calculate the prime factors of 41921 and 41927.

Prime Factorization of 41921

Prime factors of 41921 are 11, 37, 103. Prime factorization of 41921 in exponential form is:

41921 = 111 × 371 × 1031

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 41921 and 41927.

LCM(41921,41927) = 111 × 371 × 1031 × 419271
LCM(41921,41927) = 1757621767