What is the Least Common Multiple of 4775 and 4785?
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 4775 and 4785 is 4569675.
LCM(4775,4785) = 4569675
Least Common Multiple of 4775 and 4785 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4775 and 4785, than apply into the LCM equation.
GCF(4775,4785) = 5
LCM(4775,4785) = ( 4775 × 4785) / 5
LCM(4775,4785) = 22848375 / 5
LCM(4775,4785) = 4569675
Least Common Multiple (LCM) of 4775 and 4785 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4775 and 4785. First we will calculate the prime factors of 4775 and 4785.
Prime Factorization of 4775
Prime factors of 4775 are 5, 191. Prime factorization of 4775 in exponential form is:
4775 = 52 × 1911
Prime Factorization of 4785
Prime factors of 4785 are 3, 5, 11, 29. Prime factorization of 4785 in exponential form is:
4785 = 31 × 51 × 111 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 4775 and 4785.
LCM(4775,4785) = 52 × 1911 × 31 × 111 × 291
LCM(4775,4785) = 4569675
Related Least Common Multiples of 4775
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Related Least Common Multiples of 4785
- LCM of 4785 and 4789
- LCM of 4785 and 4790
- LCM of 4785 and 4791
- LCM of 4785 and 4792
- LCM of 4785 and 4793
- LCM of 4785 and 4794
- LCM of 4785 and 4795
- LCM of 4785 and 4796
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- LCM of 4785 and 4799
- LCM of 4785 and 4800
- LCM of 4785 and 4801
- LCM of 4785 and 4802
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