What is the Least Common Multiple of 60088 and 60099?
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 60088 and 60099 is 3611228712.
LCM(60088,60099) = 3611228712
Least Common Multiple of 60088 and 60099 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60088 and 60099, than apply into the LCM equation.
GCF(60088,60099) = 1
LCM(60088,60099) = ( 60088 × 60099) / 1
LCM(60088,60099) = 3611228712 / 1
LCM(60088,60099) = 3611228712
Least Common Multiple (LCM) of 60088 and 60099 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60088 and 60099. First we will calculate the prime factors of 60088 and 60099.
Prime Factorization of 60088
Prime factors of 60088 are 2, 7, 29, 37. Prime factorization of 60088 in exponential form is:
60088 = 23 × 71 × 291 × 371
Prime Factorization of 60099
Prime factors of 60099 are 3, 13, 23, 67. Prime factorization of 60099 in exponential form is:
60099 = 31 × 131 × 231 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 60088 and 60099.
LCM(60088,60099) = 23 × 71 × 291 × 371 × 31 × 131 × 231 × 671
LCM(60088,60099) = 3611228712
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