What is the Least Common Multiple of 66407 and 66427?
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 66407 and 66427 is 4411217789.
LCM(66407,66427) = 4411217789
Least Common Multiple of 66407 and 66427 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66407 and 66427, than apply into the LCM equation.
GCF(66407,66427) = 1
LCM(66407,66427) = ( 66407 × 66427) / 1
LCM(66407,66427) = 4411217789 / 1
LCM(66407,66427) = 4411217789
Least Common Multiple (LCM) of 66407 and 66427 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66407 and 66427. First we will calculate the prime factors of 66407 and 66427.
Prime Factorization of 66407
Prime factors of 66407 are 11, 6037. Prime factorization of 66407 in exponential form is:
66407 = 111 × 60371
Prime Factorization of 66427
Prime factors of 66427 are 181, 367. Prime factorization of 66427 in exponential form is:
66427 = 1811 × 3671
Now multiplying the highest exponent prime factors to calculate the LCM of 66407 and 66427.
LCM(66407,66427) = 111 × 60371 × 1811 × 3671
LCM(66407,66427) = 4411217789
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