What is the Least Common Multiple of 43897 and 43901?
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 43897 and 43901 is 1927122197.
LCM(43897,43901) = 1927122197
Least Common Multiple of 43897 and 43901 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43897 and 43901, than apply into the LCM equation.
GCF(43897,43901) = 1
LCM(43897,43901) = ( 43897 × 43901) / 1
LCM(43897,43901) = 1927122197 / 1
LCM(43897,43901) = 1927122197
Least Common Multiple (LCM) of 43897 and 43901 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43897 and 43901. First we will calculate the prime factors of 43897 and 43901.
Prime Factorization of 43897
Prime factors of 43897 are 7, 6271. Prime factorization of 43897 in exponential form is:
43897 = 71 × 62711
Prime Factorization of 43901
Prime factors of 43901 are 11, 13, 307. Prime factorization of 43901 in exponential form is:
43901 = 111 × 131 × 3071
Now multiplying the highest exponent prime factors to calculate the LCM of 43897 and 43901.
LCM(43897,43901) = 71 × 62711 × 111 × 131 × 3071
LCM(43897,43901) = 1927122197
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