What is the Least Common Multiple of 51228 and 51247?
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 51228 and 51247 is 2625281316.
LCM(51228,51247) = 2625281316
Least Common Multiple of 51228 and 51247 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51228 and 51247, than apply into the LCM equation.
GCF(51228,51247) = 1
LCM(51228,51247) = ( 51228 × 51247) / 1
LCM(51228,51247) = 2625281316 / 1
LCM(51228,51247) = 2625281316
Least Common Multiple (LCM) of 51228 and 51247 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 51228 and 51247. First we will calculate the prime factors of 51228 and 51247.
Prime Factorization of 51228
Prime factors of 51228 are 2, 3, 1423. Prime factorization of 51228 in exponential form is:
51228 = 22 × 32 × 14231
Prime Factorization of 51247
Prime factors of 51247 are 7, 7321. Prime factorization of 51247 in exponential form is:
51247 = 71 × 73211
Now multiplying the highest exponent prime factors to calculate the LCM of 51228 and 51247.
LCM(51228,51247) = 22 × 32 × 14231 × 71 × 73211
LCM(51228,51247) = 2625281316
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