What is the Least Common Multiple of 4243 and 4247?
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 4243 and 4247 is 18020021.
LCM(4243,4247) = 18020021
Least Common Multiple of 4243 and 4247 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4243 and 4247, than apply into the LCM equation.
GCF(4243,4247) = 1
LCM(4243,4247) = ( 4243 × 4247) / 1
LCM(4243,4247) = 18020021 / 1
LCM(4243,4247) = 18020021
Least Common Multiple (LCM) of 4243 and 4247 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4243 and 4247. First we will calculate the prime factors of 4243 and 4247.
Prime Factorization of 4243
Prime factors of 4243 are 4243. Prime factorization of 4243 in exponential form is:
4243 = 42431
Prime Factorization of 4247
Prime factors of 4247 are 31, 137. Prime factorization of 4247 in exponential form is:
4247 = 311 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 4243 and 4247.
LCM(4243,4247) = 42431 × 311 × 1371
LCM(4243,4247) = 18020021
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