What is the Least Common Multiple of 60158 and 60177?
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 60158 and 60177 is 3620127966.
LCM(60158,60177) = 3620127966
Least Common Multiple of 60158 and 60177 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60158 and 60177, than apply into the LCM equation.
GCF(60158,60177) = 1
LCM(60158,60177) = ( 60158 × 60177) / 1
LCM(60158,60177) = 3620127966 / 1
LCM(60158,60177) = 3620127966
Least Common Multiple (LCM) of 60158 and 60177 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60158 and 60177. First we will calculate the prime factors of 60158 and 60177.
Prime Factorization of 60158
Prime factors of 60158 are 2, 7, 4297. Prime factorization of 60158 in exponential form is:
60158 = 21 × 71 × 42971
Prime Factorization of 60177
Prime factors of 60177 are 3, 13, 1543. Prime factorization of 60177 in exponential form is:
60177 = 31 × 131 × 15431
Now multiplying the highest exponent prime factors to calculate the LCM of 60158 and 60177.
LCM(60158,60177) = 21 × 71 × 42971 × 31 × 131 × 15431
LCM(60158,60177) = 3620127966
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