What is the Least Common Multiple of 39710 and 39716?
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 39710 and 39716 is 788561180.
LCM(39710,39716) = 788561180
Least Common Multiple of 39710 and 39716 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39710 and 39716, than apply into the LCM equation.
GCF(39710,39716) = 2
LCM(39710,39716) = ( 39710 × 39716) / 2
LCM(39710,39716) = 1577122360 / 2
LCM(39710,39716) = 788561180
Least Common Multiple (LCM) of 39710 and 39716 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 39710 and 39716. First we will calculate the prime factors of 39710 and 39716.
Prime Factorization of 39710
Prime factors of 39710 are 2, 5, 11, 19. Prime factorization of 39710 in exponential form is:
39710 = 21 × 51 × 111 × 192
Prime Factorization of 39716
Prime factors of 39716 are 2, 9929. Prime factorization of 39716 in exponential form is:
39716 = 22 × 99291
Now multiplying the highest exponent prime factors to calculate the LCM of 39710 and 39716.
LCM(39710,39716) = 22 × 51 × 111 × 192 × 99291
LCM(39710,39716) = 788561180
Related Least Common Multiples of 39710
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- LCM of 39710 and 39716
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- LCM of 39710 and 39719
- LCM of 39710 and 39720
- LCM of 39710 and 39721
- LCM of 39710 and 39722
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Related Least Common Multiples of 39716
- LCM of 39716 and 39720
- LCM of 39716 and 39721
- LCM of 39716 and 39722
- LCM of 39716 and 39723
- LCM of 39716 and 39724
- LCM of 39716 and 39725
- LCM of 39716 and 39726
- LCM of 39716 and 39727
- LCM of 39716 and 39728
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- LCM of 39716 and 39730
- LCM of 39716 and 39731
- LCM of 39716 and 39732
- LCM of 39716 and 39733
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