What is the Least Common Multiple of 56638 and 56653?
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 56638 and 56653 is 3208712614.
LCM(56638,56653) = 3208712614
Least Common Multiple of 56638 and 56653 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56638 and 56653, than apply into the LCM equation.
GCF(56638,56653) = 1
LCM(56638,56653) = ( 56638 × 56653) / 1
LCM(56638,56653) = 3208712614 / 1
LCM(56638,56653) = 3208712614
Least Common Multiple (LCM) of 56638 and 56653 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56638 and 56653. First we will calculate the prime factors of 56638 and 56653.
Prime Factorization of 56638
Prime factors of 56638 are 2, 28319. Prime factorization of 56638 in exponential form is:
56638 = 21 × 283191
Prime Factorization of 56653
Prime factors of 56653 are 181, 313. Prime factorization of 56653 in exponential form is:
56653 = 1811 × 3131
Now multiplying the highest exponent prime factors to calculate the LCM of 56638 and 56653.
LCM(56638,56653) = 21 × 283191 × 1811 × 3131
LCM(56638,56653) = 3208712614
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