What is the Least Common Multiple of 626 and 632?
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 626 and 632 is 197816.
LCM(626,632) = 197816
Least Common Multiple of 626 and 632 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 626 and 632, than apply into the LCM equation.
GCF(626,632) = 2
LCM(626,632) = ( 626 × 632) / 2
LCM(626,632) = 395632 / 2
LCM(626,632) = 197816
Least Common Multiple (LCM) of 626 and 632 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 626 and 632. First we will calculate the prime factors of 626 and 632.
Prime Factorization of 626
Prime factors of 626 are 2, 313. Prime factorization of 626 in exponential form is:
626 = 21 × 3131
Prime Factorization of 632
Prime factors of 632 are 2, 79. Prime factorization of 632 in exponential form is:
632 = 23 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 626 and 632.
LCM(626,632) = 23 × 3131 × 791
LCM(626,632) = 197816
Related Least Common Multiples of 626
- LCM of 626 and 630
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Related Least Common Multiples of 632
- LCM of 632 and 636
- LCM of 632 and 637
- LCM of 632 and 638
- LCM of 632 and 639
- LCM of 632 and 640
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- LCM of 632 and 642
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- LCM of 632 and 645
- LCM of 632 and 646
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- LCM of 632 and 648
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