What is the Least Common Multiple of 66157 and 66177?
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 66157 and 66177 is 4378071789.
LCM(66157,66177) = 4378071789
Least Common Multiple of 66157 and 66177 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66157 and 66177, than apply into the LCM equation.
GCF(66157,66177) = 1
LCM(66157,66177) = ( 66157 × 66177) / 1
LCM(66157,66177) = 4378071789 / 1
LCM(66157,66177) = 4378071789
Least Common Multiple (LCM) of 66157 and 66177 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66157 and 66177. First we will calculate the prime factors of 66157 and 66177.
Prime Factorization of 66157
Prime factors of 66157 are 7, 13, 727. Prime factorization of 66157 in exponential form is:
66157 = 71 × 131 × 7271
Prime Factorization of 66177
Prime factors of 66177 are 3, 19, 43. Prime factorization of 66177 in exponential form is:
66177 = 34 × 191 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 66157 and 66177.
LCM(66157,66177) = 71 × 131 × 7271 × 34 × 191 × 431
LCM(66157,66177) = 4378071789
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