What is the Least Common Multiple of 10621 and 10633?
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 10621 and 10633 is 112933093.
LCM(10621,10633) = 112933093
Least Common Multiple of 10621 and 10633 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10621 and 10633, than apply into the LCM equation.
GCF(10621,10633) = 1
LCM(10621,10633) = ( 10621 × 10633) / 1
LCM(10621,10633) = 112933093 / 1
LCM(10621,10633) = 112933093
Least Common Multiple (LCM) of 10621 and 10633 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10621 and 10633. First we will calculate the prime factors of 10621 and 10633.
Prime Factorization of 10621
Prime factors of 10621 are 13, 19, 43. Prime factorization of 10621 in exponential form is:
10621 = 131 × 191 × 431
Prime Factorization of 10633
Prime factors of 10633 are 7, 31. Prime factorization of 10633 in exponential form is:
10633 = 73 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 10621 and 10633.
LCM(10621,10633) = 131 × 191 × 431 × 73 × 311
LCM(10621,10633) = 112933093
Related Least Common Multiples of 10621
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- LCM of 10621 and 10633
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Related Least Common Multiples of 10633
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- LCM of 10633 and 10639
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