What is the Least Common Multiple of 634 and 644?
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 634 and 644 is 204148.
LCM(634,644) = 204148
Least Common Multiple of 634 and 644 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 634 and 644, than apply into the LCM equation.
GCF(634,644) = 2
LCM(634,644) = ( 634 × 644) / 2
LCM(634,644) = 408296 / 2
LCM(634,644) = 204148
Least Common Multiple (LCM) of 634 and 644 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 634 and 644. First we will calculate the prime factors of 634 and 644.
Prime Factorization of 634
Prime factors of 634 are 2, 317. Prime factorization of 634 in exponential form is:
634 = 21 × 3171
Prime Factorization of 644
Prime factors of 644 are 2, 7, 23. Prime factorization of 644 in exponential form is:
644 = 22 × 71 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 634 and 644.
LCM(634,644) = 22 × 3171 × 71 × 231
LCM(634,644) = 204148
Related Least Common Multiples of 634
- LCM of 634 and 638
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- LCM of 634 and 644
- LCM of 634 and 645
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Related Least Common Multiples of 644
- LCM of 644 and 648
- LCM of 644 and 649
- LCM of 644 and 650
- LCM of 644 and 651
- LCM of 644 and 652
- LCM of 644 and 653
- LCM of 644 and 654
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- LCM of 644 and 658
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