What is the Least Common Multiple of 65151 and 65162?
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 65151 and 65162 is 4245369462.
LCM(65151,65162) = 4245369462
Least Common Multiple of 65151 and 65162 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65151 and 65162, than apply into the LCM equation.
GCF(65151,65162) = 1
LCM(65151,65162) = ( 65151 × 65162) / 1
LCM(65151,65162) = 4245369462 / 1
LCM(65151,65162) = 4245369462
Least Common Multiple (LCM) of 65151 and 65162 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65151 and 65162. First we will calculate the prime factors of 65151 and 65162.
Prime Factorization of 65151
Prime factors of 65151 are 3, 19, 127. Prime factorization of 65151 in exponential form is:
65151 = 33 × 191 × 1271
Prime Factorization of 65162
Prime factors of 65162 are 2, 31, 1051. Prime factorization of 65162 in exponential form is:
65162 = 21 × 311 × 10511
Now multiplying the highest exponent prime factors to calculate the LCM of 65151 and 65162.
LCM(65151,65162) = 33 × 191 × 1271 × 21 × 311 × 10511
LCM(65151,65162) = 4245369462
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