What is the Least Common Multiple of 56603 and 56615?
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 56603 and 56615 is 3204578845.
LCM(56603,56615) = 3204578845
Least Common Multiple of 56603 and 56615 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56603 and 56615, than apply into the LCM equation.
GCF(56603,56615) = 1
LCM(56603,56615) = ( 56603 × 56615) / 1
LCM(56603,56615) = 3204578845 / 1
LCM(56603,56615) = 3204578845
Least Common Multiple (LCM) of 56603 and 56615 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56603 and 56615. First we will calculate the prime factors of 56603 and 56615.
Prime Factorization of 56603
Prime factors of 56603 are 23, 107. Prime factorization of 56603 in exponential form is:
56603 = 232 × 1071
Prime Factorization of 56615
Prime factors of 56615 are 5, 13, 67. Prime factorization of 56615 in exponential form is:
56615 = 51 × 132 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 56603 and 56615.
LCM(56603,56615) = 232 × 1071 × 51 × 132 × 671
LCM(56603,56615) = 3204578845
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