What is the Least Common Multiple of 56596 and 56603?
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 56596 and 56603 is 3203503388.
LCM(56596,56603) = 3203503388
Least Common Multiple of 56596 and 56603 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56596 and 56603, than apply into the LCM equation.
GCF(56596,56603) = 1
LCM(56596,56603) = ( 56596 × 56603) / 1
LCM(56596,56603) = 3203503388 / 1
LCM(56596,56603) = 3203503388
Least Common Multiple (LCM) of 56596 and 56603 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56596 and 56603. First we will calculate the prime factors of 56596 and 56603.
Prime Factorization of 56596
Prime factors of 56596 are 2, 14149. Prime factorization of 56596 in exponential form is:
56596 = 22 × 141491
Prime Factorization of 56603
Prime factors of 56603 are 23, 107. Prime factorization of 56603 in exponential form is:
56603 = 232 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 56596 and 56603.
LCM(56596,56603) = 22 × 141491 × 232 × 1071
LCM(56596,56603) = 3203503388
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