What is the Least Common Multiple of 41921 and 41933?
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 41933 is 1757873293.
LCM(41921,41933) = 1757873293
Least Common Multiple of 41921 and 41933 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 41933, than apply into the LCM equation.
GCF(41921,41933) = 1
LCM(41921,41933) = ( 41921 × 41933) / 1
LCM(41921,41933) = 1757873293 / 1
LCM(41921,41933) = 1757873293
Least Common Multiple (LCM) of 41921 and 41933 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41921 and 41933. First we will calculate the prime factors of 41921 and 41933.
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 41933
Prime factors of 41933 are 19, 2207. Prime factorization of 41933 in exponential form is:
41933 = 191 × 22071
Now multiplying the highest exponent prime factors to calculate the LCM of 41921 and 41933.
LCM(41921,41933) = 111 × 371 × 1031 × 191 × 22071
LCM(41921,41933) = 1757873293
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