What is the Least Common Multiple of 5391 and 5402?
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 5391 and 5402 is 29122182.
LCM(5391,5402) = 29122182
Least Common Multiple of 5391 and 5402 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5391 and 5402, than apply into the LCM equation.
GCF(5391,5402) = 1
LCM(5391,5402) = ( 5391 × 5402) / 1
LCM(5391,5402) = 29122182 / 1
LCM(5391,5402) = 29122182
Least Common Multiple (LCM) of 5391 and 5402 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5391 and 5402. First we will calculate the prime factors of 5391 and 5402.
Prime Factorization of 5391
Prime factors of 5391 are 3, 599. Prime factorization of 5391 in exponential form is:
5391 = 32 × 5991
Prime Factorization of 5402
Prime factors of 5402 are 2, 37, 73. Prime factorization of 5402 in exponential form is:
5402 = 21 × 371 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 5391 and 5402.
LCM(5391,5402) = 32 × 5991 × 21 × 371 × 731
LCM(5391,5402) = 29122182
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