What is the Least Common Multiple of 26721 and 26726?
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 26721 and 26726 is 714145446.
LCM(26721,26726) = 714145446
Least Common Multiple of 26721 and 26726 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26721 and 26726, than apply into the LCM equation.
GCF(26721,26726) = 1
LCM(26721,26726) = ( 26721 × 26726) / 1
LCM(26721,26726) = 714145446 / 1
LCM(26721,26726) = 714145446
Least Common Multiple (LCM) of 26721 and 26726 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26721 and 26726. First we will calculate the prime factors of 26721 and 26726.
Prime Factorization of 26721
Prime factors of 26721 are 3, 2969. Prime factorization of 26721 in exponential form is:
26721 = 32 × 29691
Prime Factorization of 26726
Prime factors of 26726 are 2, 7, 23, 83. Prime factorization of 26726 in exponential form is:
26726 = 21 × 71 × 231 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 26721 and 26726.
LCM(26721,26726) = 32 × 29691 × 21 × 71 × 231 × 831
LCM(26721,26726) = 714145446
Related Least Common Multiples of 26721
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Related Least Common Multiples of 26726
- LCM of 26726 and 26730
- LCM of 26726 and 26731
- LCM of 26726 and 26732
- LCM of 26726 and 26733
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- LCM of 26726 and 26735
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- LCM of 26726 and 26738
- LCM of 26726 and 26739
- LCM of 26726 and 26740
- LCM of 26726 and 26741
- LCM of 26726 and 26742
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