What is the Least Common Multiple of 60127 and 60145?
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 60127 and 60145 is 3616338415.
LCM(60127,60145) = 3616338415
Least Common Multiple of 60127 and 60145 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60127 and 60145, than apply into the LCM equation.
GCF(60127,60145) = 1
LCM(60127,60145) = ( 60127 × 60145) / 1
LCM(60127,60145) = 3616338415 / 1
LCM(60127,60145) = 3616338415
Least Common Multiple (LCM) of 60127 and 60145 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60127 and 60145. First we will calculate the prime factors of 60127 and 60145.
Prime Factorization of 60127
Prime factors of 60127 are 60127. Prime factorization of 60127 in exponential form is:
60127 = 601271
Prime Factorization of 60145
Prime factors of 60145 are 5, 23, 523. Prime factorization of 60145 in exponential form is:
60145 = 51 × 231 × 5231
Now multiplying the highest exponent prime factors to calculate the LCM of 60127 and 60145.
LCM(60127,60145) = 601271 × 51 × 231 × 5231
LCM(60127,60145) = 3616338415
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