What is the Least Common Multiple of 66155 and 66167?
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 66155 and 66167 is 4377277885.
LCM(66155,66167) = 4377277885
Least Common Multiple of 66155 and 66167 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66155 and 66167, than apply into the LCM equation.
GCF(66155,66167) = 1
LCM(66155,66167) = ( 66155 × 66167) / 1
LCM(66155,66167) = 4377277885 / 1
LCM(66155,66167) = 4377277885
Least Common Multiple (LCM) of 66155 and 66167 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66155 and 66167. First we will calculate the prime factors of 66155 and 66167.
Prime Factorization of 66155
Prime factors of 66155 are 5, 101, 131. Prime factorization of 66155 in exponential form is:
66155 = 51 × 1011 × 1311
Prime Factorization of 66167
Prime factors of 66167 are 127, 521. Prime factorization of 66167 in exponential form is:
66167 = 1271 × 5211
Now multiplying the highest exponent prime factors to calculate the LCM of 66155 and 66167.
LCM(66155,66167) = 51 × 1011 × 1311 × 1271 × 5211
LCM(66155,66167) = 4377277885
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