What is the Least Common Multiple of 4337 and 4343?
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 4337 and 4343 is 18835591.
LCM(4337,4343) = 18835591
Least Common Multiple of 4337 and 4343 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4337 and 4343, than apply into the LCM equation.
GCF(4337,4343) = 1
LCM(4337,4343) = ( 4337 × 4343) / 1
LCM(4337,4343) = 18835591 / 1
LCM(4337,4343) = 18835591
Least Common Multiple (LCM) of 4337 and 4343 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4337 and 4343. First we will calculate the prime factors of 4337 and 4343.
Prime Factorization of 4337
Prime factors of 4337 are 4337. Prime factorization of 4337 in exponential form is:
4337 = 43371
Prime Factorization of 4343
Prime factors of 4343 are 43, 101. Prime factorization of 4343 in exponential form is:
4343 = 431 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 4337 and 4343.
LCM(4337,4343) = 43371 × 431 × 1011
LCM(4337,4343) = 18835591
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