What is the Least Common Multiple of 54664 and 54670?
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 54664 and 54670 is 1494240440.
LCM(54664,54670) = 1494240440
Least Common Multiple of 54664 and 54670 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54664 and 54670, than apply into the LCM equation.
GCF(54664,54670) = 2
LCM(54664,54670) = ( 54664 × 54670) / 2
LCM(54664,54670) = 2988480880 / 2
LCM(54664,54670) = 1494240440
Least Common Multiple (LCM) of 54664 and 54670 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54664 and 54670. First we will calculate the prime factors of 54664 and 54670.
Prime Factorization of 54664
Prime factors of 54664 are 2, 6833. Prime factorization of 54664 in exponential form is:
54664 = 23 × 68331
Prime Factorization of 54670
Prime factors of 54670 are 2, 5, 7, 11, 71. Prime factorization of 54670 in exponential form is:
54670 = 21 × 51 × 71 × 111 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 54664 and 54670.
LCM(54664,54670) = 23 × 68331 × 51 × 71 × 111 × 711
LCM(54664,54670) = 1494240440
Related Least Common Multiples of 54664
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Related Least Common Multiples of 54670
- LCM of 54670 and 54674
- LCM of 54670 and 54675
- LCM of 54670 and 54676
- LCM of 54670 and 54677
- LCM of 54670 and 54678
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- LCM of 54670 and 54680
- LCM of 54670 and 54681
- LCM of 54670 and 54682
- LCM of 54670 and 54683
- LCM of 54670 and 54684
- LCM of 54670 and 54685
- LCM of 54670 and 54686
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