What is the Least Common Multiple of 70161 and 70169?
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 70161 and 70169 is 4923127209.
LCM(70161,70169) = 4923127209
Least Common Multiple of 70161 and 70169 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70161 and 70169, than apply into the LCM equation.
GCF(70161,70169) = 1
LCM(70161,70169) = ( 70161 × 70169) / 1
LCM(70161,70169) = 4923127209 / 1
LCM(70161,70169) = 4923127209
Least Common Multiple (LCM) of 70161 and 70169 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70161 and 70169. First we will calculate the prime factors of 70161 and 70169.
Prime Factorization of 70161
Prime factors of 70161 are 3, 7, 13, 257. Prime factorization of 70161 in exponential form is:
70161 = 31 × 71 × 131 × 2571
Prime Factorization of 70169
Prime factors of 70169 are 11, 6379. Prime factorization of 70169 in exponential form is:
70169 = 111 × 63791
Now multiplying the highest exponent prime factors to calculate the LCM of 70161 and 70169.
LCM(70161,70169) = 31 × 71 × 131 × 2571 × 111 × 63791
LCM(70161,70169) = 4923127209
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