What is the Least Common Multiple of 653 and 663?
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 653 and 663 is 432939.
LCM(653,663) = 432939
Least Common Multiple of 653 and 663 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 653 and 663, than apply into the LCM equation.
GCF(653,663) = 1
LCM(653,663) = ( 653 × 663) / 1
LCM(653,663) = 432939 / 1
LCM(653,663) = 432939
Least Common Multiple (LCM) of 653 and 663 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 653 and 663. First we will calculate the prime factors of 653 and 663.
Prime Factorization of 653
Prime factors of 653 are 653. Prime factorization of 653 in exponential form is:
653 = 6531
Prime Factorization of 663
Prime factors of 663 are 3, 13, 17. Prime factorization of 663 in exponential form is:
663 = 31 × 131 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 653 and 663.
LCM(653,663) = 6531 × 31 × 131 × 171
LCM(653,663) = 432939
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