What is the Least Common Multiple of 65716 and 65723?
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 65716 and 65723 is 617007524.
LCM(65716,65723) = 617007524
Least Common Multiple of 65716 and 65723 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65716 and 65723, than apply into the LCM equation.
GCF(65716,65723) = 7
LCM(65716,65723) = ( 65716 × 65723) / 7
LCM(65716,65723) = 4319052668 / 7
LCM(65716,65723) = 617007524
Least Common Multiple (LCM) of 65716 and 65723 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65716 and 65723. First we will calculate the prime factors of 65716 and 65723.
Prime Factorization of 65716
Prime factors of 65716 are 2, 7, 2347. Prime factorization of 65716 in exponential form is:
65716 = 22 × 71 × 23471
Prime Factorization of 65723
Prime factors of 65723 are 7, 41, 229. Prime factorization of 65723 in exponential form is:
65723 = 71 × 411 × 2291
Now multiplying the highest exponent prime factors to calculate the LCM of 65716 and 65723.
LCM(65716,65723) = 22 × 71 × 23471 × 411 × 2291
LCM(65716,65723) = 617007524
Related Least Common Multiples of 65716
- LCM of 65716 and 65720
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- LCM of 65716 and 65723
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- LCM of 65716 and 65727
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- LCM of 65716 and 65736
Related Least Common Multiples of 65723
- LCM of 65723 and 65727
- LCM of 65723 and 65728
- LCM of 65723 and 65729
- LCM of 65723 and 65730
- LCM of 65723 and 65731
- LCM of 65723 and 65732
- LCM of 65723 and 65733
- LCM of 65723 and 65734
- LCM of 65723 and 65735
- LCM of 65723 and 65736
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- LCM of 65723 and 65741
- LCM of 65723 and 65742
- LCM of 65723 and 65743