What is the Least Common Multiple of 60182 and 60195?
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 60182 and 60195 is 3622655490.
LCM(60182,60195) = 3622655490
Least Common Multiple of 60182 and 60195 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60182 and 60195, than apply into the LCM equation.
GCF(60182,60195) = 1
LCM(60182,60195) = ( 60182 × 60195) / 1
LCM(60182,60195) = 3622655490 / 1
LCM(60182,60195) = 3622655490
Least Common Multiple (LCM) of 60182 and 60195 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60182 and 60195. First we will calculate the prime factors of 60182 and 60195.
Prime Factorization of 60182
Prime factors of 60182 are 2, 30091. Prime factorization of 60182 in exponential form is:
60182 = 21 × 300911
Prime Factorization of 60195
Prime factors of 60195 are 3, 5, 4013. Prime factorization of 60195 in exponential form is:
60195 = 31 × 51 × 40131
Now multiplying the highest exponent prime factors to calculate the LCM of 60182 and 60195.
LCM(60182,60195) = 21 × 300911 × 31 × 51 × 40131
LCM(60182,60195) = 3622655490
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