What is the Least Common Multiple of 56387 and 56402?
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 56387 and 56402 is 3180339574.
LCM(56387,56402) = 3180339574
Least Common Multiple of 56387 and 56402 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56387 and 56402, than apply into the LCM equation.
GCF(56387,56402) = 1
LCM(56387,56402) = ( 56387 × 56402) / 1
LCM(56387,56402) = 3180339574 / 1
LCM(56387,56402) = 3180339574
Least Common Multiple (LCM) of 56387 and 56402 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56387 and 56402. First we will calculate the prime factors of 56387 and 56402.
Prime Factorization of 56387
Prime factors of 56387 are 113, 499. Prime factorization of 56387 in exponential form is:
56387 = 1131 × 4991
Prime Factorization of 56402
Prime factors of 56402 are 2, 28201. Prime factorization of 56402 in exponential form is:
56402 = 21 × 282011
Now multiplying the highest exponent prime factors to calculate the LCM of 56387 and 56402.
LCM(56387,56402) = 1131 × 4991 × 21 × 282011
LCM(56387,56402) = 3180339574
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