What is the Least Common Multiple of 27415 and 27426?
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 27415 and 27426 is 751883790.
LCM(27415,27426) = 751883790
Least Common Multiple of 27415 and 27426 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27415 and 27426, than apply into the LCM equation.
GCF(27415,27426) = 1
LCM(27415,27426) = ( 27415 × 27426) / 1
LCM(27415,27426) = 751883790 / 1
LCM(27415,27426) = 751883790
Least Common Multiple (LCM) of 27415 and 27426 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27415 and 27426. First we will calculate the prime factors of 27415 and 27426.
Prime Factorization of 27415
Prime factors of 27415 are 5, 5483. Prime factorization of 27415 in exponential form is:
27415 = 51 × 54831
Prime Factorization of 27426
Prime factors of 27426 are 2, 3, 7, 653. Prime factorization of 27426 in exponential form is:
27426 = 21 × 31 × 71 × 6531
Now multiplying the highest exponent prime factors to calculate the LCM of 27415 and 27426.
LCM(27415,27426) = 51 × 54831 × 21 × 31 × 71 × 6531
LCM(27415,27426) = 751883790
Related Least Common Multiples of 27415
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Related Least Common Multiples of 27426
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- LCM of 27426 and 27432
- LCM of 27426 and 27433
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- LCM of 27426 and 27436
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- LCM of 27426 and 27440
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- LCM of 27426 and 27442
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