What is the Least Common Multiple of 43351 and 43371?
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 43351 and 43371 is 1880176221.
LCM(43351,43371) = 1880176221
Least Common Multiple of 43351 and 43371 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43351 and 43371, than apply into the LCM equation.
GCF(43351,43371) = 1
LCM(43351,43371) = ( 43351 × 43371) / 1
LCM(43351,43371) = 1880176221 / 1
LCM(43351,43371) = 1880176221
Least Common Multiple (LCM) of 43351 and 43371 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43351 and 43371. First we will calculate the prime factors of 43351 and 43371.
Prime Factorization of 43351
Prime factors of 43351 are 7, 11, 563. Prime factorization of 43351 in exponential form is:
43351 = 71 × 111 × 5631
Prime Factorization of 43371
Prime factors of 43371 are 3, 61, 79. Prime factorization of 43371 in exponential form is:
43371 = 32 × 611 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 43351 and 43371.
LCM(43351,43371) = 71 × 111 × 5631 × 32 × 611 × 791
LCM(43351,43371) = 1880176221
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