What is the Least Common Multiple of 658 and 664?
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 658 and 664 is 218456.
LCM(658,664) = 218456
Least Common Multiple of 658 and 664 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 658 and 664, than apply into the LCM equation.
GCF(658,664) = 2
LCM(658,664) = ( 658 × 664) / 2
LCM(658,664) = 436912 / 2
LCM(658,664) = 218456
Least Common Multiple (LCM) of 658 and 664 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 658 and 664. First we will calculate the prime factors of 658 and 664.
Prime Factorization of 658
Prime factors of 658 are 2, 7, 47. Prime factorization of 658 in exponential form is:
658 = 21 × 71 × 471
Prime Factorization of 664
Prime factors of 664 are 2, 83. Prime factorization of 664 in exponential form is:
664 = 23 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 658 and 664.
LCM(658,664) = 23 × 71 × 471 × 831
LCM(658,664) = 218456
Related Least Common Multiples of 658
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Related Least Common Multiples of 664
- LCM of 664 and 668
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