What is the Least Common Multiple of 4373 and 4387?
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 4373 and 4387 is 19184351.
LCM(4373,4387) = 19184351
Least Common Multiple of 4373 and 4387 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4373 and 4387, than apply into the LCM equation.
GCF(4373,4387) = 1
LCM(4373,4387) = ( 4373 × 4387) / 1
LCM(4373,4387) = 19184351 / 1
LCM(4373,4387) = 19184351
Least Common Multiple (LCM) of 4373 and 4387 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4373 and 4387. First we will calculate the prime factors of 4373 and 4387.
Prime Factorization of 4373
Prime factors of 4373 are 4373. Prime factorization of 4373 in exponential form is:
4373 = 43731
Prime Factorization of 4387
Prime factors of 4387 are 41, 107. Prime factorization of 4387 in exponential form is:
4387 = 411 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 4373 and 4387.
LCM(4373,4387) = 43731 × 411 × 1071
LCM(4373,4387) = 19184351
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