What is the Least Common Multiple of 60117 and 60123?
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 60117 and 60123 is 1204804797.
LCM(60117,60123) = 1204804797
Least Common Multiple of 60117 and 60123 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60117 and 60123, than apply into the LCM equation.
GCF(60117,60123) = 3
LCM(60117,60123) = ( 60117 × 60123) / 3
LCM(60117,60123) = 3614414391 / 3
LCM(60117,60123) = 1204804797
Least Common Multiple (LCM) of 60117 and 60123 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60117 and 60123. First we will calculate the prime factors of 60117 and 60123.
Prime Factorization of 60117
Prime factors of 60117 are 3, 29, 691. Prime factorization of 60117 in exponential form is:
60117 = 31 × 291 × 6911
Prime Factorization of 60123
Prime factors of 60123 are 3, 7, 409. Prime factorization of 60123 in exponential form is:
60123 = 31 × 72 × 4091
Now multiplying the highest exponent prime factors to calculate the LCM of 60117 and 60123.
LCM(60117,60123) = 31 × 291 × 6911 × 72 × 4091
LCM(60117,60123) = 1204804797
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