What is the Least Common Multiple of 7187 and 7207?
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 7187 and 7207 is 51796709.
LCM(7187,7207) = 51796709
Least Common Multiple of 7187 and 7207 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7187 and 7207, than apply into the LCM equation.
GCF(7187,7207) = 1
LCM(7187,7207) = ( 7187 × 7207) / 1
LCM(7187,7207) = 51796709 / 1
LCM(7187,7207) = 51796709
Least Common Multiple (LCM) of 7187 and 7207 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7187 and 7207. First we will calculate the prime factors of 7187 and 7207.
Prime Factorization of 7187
Prime factors of 7187 are 7187. Prime factorization of 7187 in exponential form is:
7187 = 71871
Prime Factorization of 7207
Prime factors of 7207 are 7207. Prime factorization of 7207 in exponential form is:
7207 = 72071
Now multiplying the highest exponent prime factors to calculate the LCM of 7187 and 7207.
LCM(7187,7207) = 71871 × 72071
LCM(7187,7207) = 51796709
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