What is the Least Common Multiple of 50799 and 50815?
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 50799 and 50815 is 2581351185.
LCM(50799,50815) = 2581351185
Least Common Multiple of 50799 and 50815 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50799 and 50815, than apply into the LCM equation.
GCF(50799,50815) = 1
LCM(50799,50815) = ( 50799 × 50815) / 1
LCM(50799,50815) = 2581351185 / 1
LCM(50799,50815) = 2581351185
Least Common Multiple (LCM) of 50799 and 50815 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50799 and 50815. First we will calculate the prime factors of 50799 and 50815.
Prime Factorization of 50799
Prime factors of 50799 are 3, 7, 41, 59. Prime factorization of 50799 in exponential form is:
50799 = 31 × 71 × 411 × 591
Prime Factorization of 50815
Prime factors of 50815 are 5, 10163. Prime factorization of 50815 in exponential form is:
50815 = 51 × 101631
Now multiplying the highest exponent prime factors to calculate the LCM of 50799 and 50815.
LCM(50799,50815) = 31 × 71 × 411 × 591 × 51 × 101631
LCM(50799,50815) = 2581351185
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