What is the Least Common Multiple of 60059 and 60079?
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 60059 and 60079 is 3608284661.
LCM(60059,60079) = 3608284661
Least Common Multiple of 60059 and 60079 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60059 and 60079, than apply into the LCM equation.
GCF(60059,60079) = 1
LCM(60059,60079) = ( 60059 × 60079) / 1
LCM(60059,60079) = 3608284661 / 1
LCM(60059,60079) = 3608284661
Least Common Multiple (LCM) of 60059 and 60079 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60059 and 60079. First we will calculate the prime factors of 60059 and 60079.
Prime Factorization of 60059
Prime factors of 60059 are 19, 29, 109. Prime factorization of 60059 in exponential form is:
60059 = 191 × 291 × 1091
Prime Factorization of 60079
Prime factors of 60079 are 73, 823. Prime factorization of 60079 in exponential form is:
60079 = 731 × 8231
Now multiplying the highest exponent prime factors to calculate the LCM of 60059 and 60079.
LCM(60059,60079) = 191 × 291 × 1091 × 731 × 8231
LCM(60059,60079) = 3608284661
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