What is the Least Common Multiple of 50897 and 50915?
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 50897 and 50915 is 2591420755.
LCM(50897,50915) = 2591420755
Least Common Multiple of 50897 and 50915 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50897 and 50915, than apply into the LCM equation.
GCF(50897,50915) = 1
LCM(50897,50915) = ( 50897 × 50915) / 1
LCM(50897,50915) = 2591420755 / 1
LCM(50897,50915) = 2591420755
Least Common Multiple (LCM) of 50897 and 50915 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50897 and 50915. First we will calculate the prime factors of 50897 and 50915.
Prime Factorization of 50897
Prime factors of 50897 are 7, 11, 661. Prime factorization of 50897 in exponential form is:
50897 = 71 × 111 × 6611
Prime Factorization of 50915
Prime factors of 50915 are 5, 17, 599. Prime factorization of 50915 in exponential form is:
50915 = 51 × 171 × 5991
Now multiplying the highest exponent prime factors to calculate the LCM of 50897 and 50915.
LCM(50897,50915) = 71 × 111 × 6611 × 51 × 171 × 5991
LCM(50897,50915) = 2591420755
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