What is the Least Common Multiple of 4337 and 4346?
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 4346 is 18848602.
LCM(4337,4346) = 18848602
Least Common Multiple of 4337 and 4346 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 4346, than apply into the LCM equation.
GCF(4337,4346) = 1
LCM(4337,4346) = ( 4337 × 4346) / 1
LCM(4337,4346) = 18848602 / 1
LCM(4337,4346) = 18848602
Least Common Multiple (LCM) of 4337 and 4346 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4337 and 4346. First we will calculate the prime factors of 4337 and 4346.
Prime Factorization of 4337
Prime factors of 4337 are 4337. Prime factorization of 4337 in exponential form is:
4337 = 43371
Prime Factorization of 4346
Prime factors of 4346 are 2, 41, 53. Prime factorization of 4346 in exponential form is:
4346 = 21 × 411 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 4337 and 4346.
LCM(4337,4346) = 43371 × 21 × 411 × 531
LCM(4337,4346) = 18848602
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