What is the Least Common Multiple of 625 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 625 and 638 is 398750.
LCM(625,638) = 398750
Least Common Multiple of 625 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 625 and 638, than apply into the LCM equation.
GCF(625,638) = 1
LCM(625,638) = ( 625 × 638) / 1
LCM(625,638) = 398750 / 1
LCM(625,638) = 398750
Least Common Multiple (LCM) of 625 and 638 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 625 and 638. First we will calculate the prime factors of 625 and 638.
Prime Factorization of 625
Prime factors of 625 are 5. Prime factorization of 625 in exponential form is:
625 = 54
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 625 and 638.
LCM(625,638) = 54 × 21 × 111 × 291
LCM(625,638) = 398750
Related Least Common Multiples of 625
- LCM of 625 and 629
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- LCM of 625 and 635
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- LCM of 625 and 637
- LCM of 625 and 638
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- LCM of 625 and 640
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Related Least Common Multiples of 638
- LCM of 638 and 642
- LCM of 638 and 643
- LCM of 638 and 644
- LCM of 638 and 645
- LCM of 638 and 646
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- LCM of 638 and 653
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