What is the Least Common Multiple of 4393 and 4402?
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 4393 and 4402 is 19337986.
LCM(4393,4402) = 19337986
Least Common Multiple of 4393 and 4402 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4393 and 4402, than apply into the LCM equation.
GCF(4393,4402) = 1
LCM(4393,4402) = ( 4393 × 4402) / 1
LCM(4393,4402) = 19337986 / 1
LCM(4393,4402) = 19337986
Least Common Multiple (LCM) of 4393 and 4402 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4393 and 4402. First we will calculate the prime factors of 4393 and 4402.
Prime Factorization of 4393
Prime factors of 4393 are 23, 191. Prime factorization of 4393 in exponential form is:
4393 = 231 × 1911
Prime Factorization of 4402
Prime factors of 4402 are 2, 31, 71. Prime factorization of 4402 in exponential form is:
4402 = 21 × 311 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 4393 and 4402.
LCM(4393,4402) = 231 × 1911 × 21 × 311 × 711
LCM(4393,4402) = 19337986
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