What is the Least Common Multiple of 47207 and 47211?
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 47207 and 47211 is 2228689677.
LCM(47207,47211) = 2228689677
Least Common Multiple of 47207 and 47211 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47207 and 47211, than apply into the LCM equation.
GCF(47207,47211) = 1
LCM(47207,47211) = ( 47207 × 47211) / 1
LCM(47207,47211) = 2228689677 / 1
LCM(47207,47211) = 2228689677
Least Common Multiple (LCM) of 47207 and 47211 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47207 and 47211. First we will calculate the prime factors of 47207 and 47211.
Prime Factorization of 47207
Prime factors of 47207 are 47207. Prime factorization of 47207 in exponential form is:
47207 = 472071
Prime Factorization of 47211
Prime factors of 47211 are 3, 15737. Prime factorization of 47211 in exponential form is:
47211 = 31 × 157371
Now multiplying the highest exponent prime factors to calculate the LCM of 47207 and 47211.
LCM(47207,47211) = 472071 × 31 × 157371
LCM(47207,47211) = 2228689677
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