What is the Least Common Multiple of 50601 and 50615?
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 50601 and 50615 is 2561169615.
LCM(50601,50615) = 2561169615
Least Common Multiple of 50601 and 50615 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50601 and 50615, than apply into the LCM equation.
GCF(50601,50615) = 1
LCM(50601,50615) = ( 50601 × 50615) / 1
LCM(50601,50615) = 2561169615 / 1
LCM(50601,50615) = 2561169615
Least Common Multiple (LCM) of 50601 and 50615 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50601 and 50615. First we will calculate the prime factors of 50601 and 50615.
Prime Factorization of 50601
Prime factors of 50601 are 3, 101, 167. Prime factorization of 50601 in exponential form is:
50601 = 31 × 1011 × 1671
Prime Factorization of 50615
Prime factors of 50615 are 5, 53, 191. Prime factorization of 50615 in exponential form is:
50615 = 51 × 531 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 50601 and 50615.
LCM(50601,50615) = 31 × 1011 × 1671 × 51 × 531 × 1911
LCM(50601,50615) = 2561169615
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