What is the Least Common Multiple of 39151 and 39169?
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 39151 and 39169 is 1533505519.
LCM(39151,39169) = 1533505519
Least Common Multiple of 39151 and 39169 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39151 and 39169, than apply into the LCM equation.
GCF(39151,39169) = 1
LCM(39151,39169) = ( 39151 × 39169) / 1
LCM(39151,39169) = 1533505519 / 1
LCM(39151,39169) = 1533505519
Least Common Multiple (LCM) of 39151 and 39169 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 39151 and 39169. First we will calculate the prime factors of 39151 and 39169.
Prime Factorization of 39151
Prime factors of 39151 are 7, 17, 47. Prime factorization of 39151 in exponential form is:
39151 = 72 × 171 × 471
Prime Factorization of 39169
Prime factors of 39169 are 13, 23, 131. Prime factorization of 39169 in exponential form is:
39169 = 131 × 231 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 39151 and 39169.
LCM(39151,39169) = 72 × 171 × 471 × 131 × 231 × 1311
LCM(39151,39169) = 1533505519
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