What is the Least Common Multiple of 31629 and 31634?
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 31629 and 31634 is 1000551786.
LCM(31629,31634) = 1000551786
Least Common Multiple of 31629 and 31634 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31629 and 31634, than apply into the LCM equation.
GCF(31629,31634) = 1
LCM(31629,31634) = ( 31629 × 31634) / 1
LCM(31629,31634) = 1000551786 / 1
LCM(31629,31634) = 1000551786
Least Common Multiple (LCM) of 31629 and 31634 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 31629 and 31634. First we will calculate the prime factors of 31629 and 31634.
Prime Factorization of 31629
Prime factors of 31629 are 3, 13, 811. Prime factorization of 31629 in exponential form is:
31629 = 31 × 131 × 8111
Prime Factorization of 31634
Prime factors of 31634 are 2, 15817. Prime factorization of 31634 in exponential form is:
31634 = 21 × 158171
Now multiplying the highest exponent prime factors to calculate the LCM of 31629 and 31634.
LCM(31629,31634) = 31 × 131 × 8111 × 21 × 158171
LCM(31629,31634) = 1000551786
Related Least Common Multiples of 31629
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Related Least Common Multiples of 31634
- LCM of 31634 and 31638
- LCM of 31634 and 31639
- LCM of 31634 and 31640
- LCM of 31634 and 31641
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- LCM of 31634 and 31643
- LCM of 31634 and 31644
- LCM of 31634 and 31645
- LCM of 31634 and 31646
- LCM of 31634 and 31647
- LCM of 31634 and 31648
- LCM of 31634 and 31649
- LCM of 31634 and 31650
- LCM of 31634 and 31651
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