What is the Least Common Multiple of 632 and 638?
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 632 and 638 is 201608.
LCM(632,638) = 201608
Least Common Multiple of 632 and 638 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 632 and 638, than apply into the LCM equation.
GCF(632,638) = 2
LCM(632,638) = ( 632 × 638) / 2
LCM(632,638) = 403216 / 2
LCM(632,638) = 201608
Least Common Multiple (LCM) of 632 and 638 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 632 and 638. First we will calculate the prime factors of 632 and 638.
Prime Factorization of 632
Prime factors of 632 are 2, 79. Prime factorization of 632 in exponential form is:
632 = 23 × 791
Prime Factorization of 638
Prime factors of 638 are 2, 11, 29. Prime factorization of 638 in exponential form is:
638 = 21 × 111 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 632 and 638.
LCM(632,638) = 23 × 791 × 111 × 291
LCM(632,638) = 201608
Related Least Common Multiples of 632
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Related Least Common Multiples of 638
- LCM of 638 and 642
- LCM of 638 and 643
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- LCM of 638 and 645
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- LCM of 638 and 648
- LCM of 638 and 649
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- LCM of 638 and 652
- LCM of 638 and 653
- LCM of 638 and 654
- LCM of 638 and 655
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