What is the Least Common Multiple of 49227 and 49235?
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 49227 and 49235 is 2423691345.
LCM(49227,49235) = 2423691345
Least Common Multiple of 49227 and 49235 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49227 and 49235, than apply into the LCM equation.
GCF(49227,49235) = 1
LCM(49227,49235) = ( 49227 × 49235) / 1
LCM(49227,49235) = 2423691345 / 1
LCM(49227,49235) = 2423691345
Least Common Multiple (LCM) of 49227 and 49235 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49227 and 49235. First we will calculate the prime factors of 49227 and 49235.
Prime Factorization of 49227
Prime factors of 49227 are 3, 61, 269. Prime factorization of 49227 in exponential form is:
49227 = 31 × 611 × 2691
Prime Factorization of 49235
Prime factors of 49235 are 5, 43, 229. Prime factorization of 49235 in exponential form is:
49235 = 51 × 431 × 2291
Now multiplying the highest exponent prime factors to calculate the LCM of 49227 and 49235.
LCM(49227,49235) = 31 × 611 × 2691 × 51 × 431 × 2291
LCM(49227,49235) = 2423691345
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