What is the Least Common Multiple of 35607 and 35613?
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 35607 and 35613 is 422690697.
LCM(35607,35613) = 422690697
Least Common Multiple of 35607 and 35613 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35607 and 35613, than apply into the LCM equation.
GCF(35607,35613) = 3
LCM(35607,35613) = ( 35607 × 35613) / 3
LCM(35607,35613) = 1268072091 / 3
LCM(35607,35613) = 422690697
Least Common Multiple (LCM) of 35607 and 35613 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 35607 and 35613. First we will calculate the prime factors of 35607 and 35613.
Prime Factorization of 35607
Prime factors of 35607 are 3, 11, 13, 83. Prime factorization of 35607 in exponential form is:
35607 = 31 × 111 × 131 × 831
Prime Factorization of 35613
Prime factors of 35613 are 3, 1319. Prime factorization of 35613 in exponential form is:
35613 = 33 × 13191
Now multiplying the highest exponent prime factors to calculate the LCM of 35607 and 35613.
LCM(35607,35613) = 33 × 111 × 131 × 831 × 13191
LCM(35607,35613) = 422690697
Related Least Common Multiples of 35607
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Related Least Common Multiples of 35613
- LCM of 35613 and 35617
- LCM of 35613 and 35618
- LCM of 35613 and 35619
- LCM of 35613 and 35620
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- LCM of 35613 and 35629
- LCM of 35613 and 35630
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