What is the Least Common Multiple of 49207 and 49211?
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 49207 and 49211 is 2421525677.
LCM(49207,49211) = 2421525677
Least Common Multiple of 49207 and 49211 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49207 and 49211, than apply into the LCM equation.
GCF(49207,49211) = 1
LCM(49207,49211) = ( 49207 × 49211) / 1
LCM(49207,49211) = 2421525677 / 1
LCM(49207,49211) = 2421525677
Least Common Multiple (LCM) of 49207 and 49211 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49207 and 49211. First we will calculate the prime factors of 49207 and 49211.
Prime Factorization of 49207
Prime factors of 49207 are 49207. Prime factorization of 49207 in exponential form is:
49207 = 492071
Prime Factorization of 49211
Prime factors of 49211 are 49211. Prime factorization of 49211 in exponential form is:
49211 = 492111
Now multiplying the highest exponent prime factors to calculate the LCM of 49207 and 49211.
LCM(49207,49211) = 492071 × 492111
LCM(49207,49211) = 2421525677
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