What is the Least Common Multiple of 657 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 657 and 663 is 145197.
LCM(657,663) = 145197
Least Common Multiple of 657 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 657 and 663, than apply into the LCM equation.
GCF(657,663) = 3
LCM(657,663) = ( 657 × 663) / 3
LCM(657,663) = 435591 / 3
LCM(657,663) = 145197
Least Common Multiple (LCM) of 657 and 663 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 657 and 663. First we will calculate the prime factors of 657 and 663.
Prime Factorization of 657
Prime factors of 657 are 3, 73. Prime factorization of 657 in exponential form is:
657 = 32 × 731
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 657 and 663.
LCM(657,663) = 32 × 731 × 131 × 171
LCM(657,663) = 145197
Related Least Common Multiples of 657
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Related Least Common Multiples of 663
- LCM of 663 and 667
- LCM of 663 and 668
- LCM of 663 and 669
- LCM of 663 and 670
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