What is the Least Common Multiple of 49187 and 49201?
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 49187 and 49201 is 2420049587.
LCM(49187,49201) = 2420049587
Least Common Multiple of 49187 and 49201 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49187 and 49201, than apply into the LCM equation.
GCF(49187,49201) = 1
LCM(49187,49201) = ( 49187 × 49201) / 1
LCM(49187,49201) = 2420049587 / 1
LCM(49187,49201) = 2420049587
Least Common Multiple (LCM) of 49187 and 49201 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49187 and 49201. First we will calculate the prime factors of 49187 and 49201.
Prime Factorization of 49187
Prime factors of 49187 are 101, 487. Prime factorization of 49187 in exponential form is:
49187 = 1011 × 4871
Prime Factorization of 49201
Prime factors of 49201 are 49201. Prime factorization of 49201 in exponential form is:
49201 = 492011
Now multiplying the highest exponent prime factors to calculate the LCM of 49187 and 49201.
LCM(49187,49201) = 1011 × 4871 × 492011
LCM(49187,49201) = 2420049587
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