What is the Least Common Multiple of 60601 and 60615?
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 60601 and 60615 is 3673329615.
LCM(60601,60615) = 3673329615
Least Common Multiple of 60601 and 60615 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60601 and 60615, than apply into the LCM equation.
GCF(60601,60615) = 1
LCM(60601,60615) = ( 60601 × 60615) / 1
LCM(60601,60615) = 3673329615 / 1
LCM(60601,60615) = 3673329615
Least Common Multiple (LCM) of 60601 and 60615 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60601 and 60615. First we will calculate the prime factors of 60601 and 60615.
Prime Factorization of 60601
Prime factors of 60601 are 60601. Prime factorization of 60601 in exponential form is:
60601 = 606011
Prime Factorization of 60615
Prime factors of 60615 are 3, 5, 449. Prime factorization of 60615 in exponential form is:
60615 = 33 × 51 × 4491
Now multiplying the highest exponent prime factors to calculate the LCM of 60601 and 60615.
LCM(60601,60615) = 606011 × 33 × 51 × 4491
LCM(60601,60615) = 3673329615
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