What is the Least Common Multiple of 30600 and 30617?
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 30600 and 30617 is 55110600.
LCM(30600,30617) = 55110600
Least Common Multiple of 30600 and 30617 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30600 and 30617, than apply into the LCM equation.
GCF(30600,30617) = 17
LCM(30600,30617) = ( 30600 × 30617) / 17
LCM(30600,30617) = 936880200 / 17
LCM(30600,30617) = 55110600
Least Common Multiple (LCM) of 30600 and 30617 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30600 and 30617. First we will calculate the prime factors of 30600 and 30617.
Prime Factorization of 30600
Prime factors of 30600 are 2, 3, 5, 17. Prime factorization of 30600 in exponential form is:
30600 = 23 × 32 × 52 × 171
Prime Factorization of 30617
Prime factors of 30617 are 17, 1801. Prime factorization of 30617 in exponential form is:
30617 = 171 × 18011
Now multiplying the highest exponent prime factors to calculate the LCM of 30600 and 30617.
LCM(30600,30617) = 23 × 32 × 52 × 171 × 18011
LCM(30600,30617) = 55110600
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