What is the Least Common Multiple of 50159 and 50178?
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 50159 and 50178 is 2516878302.
LCM(50159,50178) = 2516878302
Least Common Multiple of 50159 and 50178 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50159 and 50178, than apply into the LCM equation.
GCF(50159,50178) = 1
LCM(50159,50178) = ( 50159 × 50178) / 1
LCM(50159,50178) = 2516878302 / 1
LCM(50159,50178) = 2516878302
Least Common Multiple (LCM) of 50159 and 50178 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50159 and 50178. First we will calculate the prime factors of 50159 and 50178.
Prime Factorization of 50159
Prime factors of 50159 are 50159. Prime factorization of 50159 in exponential form is:
50159 = 501591
Prime Factorization of 50178
Prime factors of 50178 are 2, 3, 8363. Prime factorization of 50178 in exponential form is:
50178 = 21 × 31 × 83631
Now multiplying the highest exponent prime factors to calculate the LCM of 50159 and 50178.
LCM(50159,50178) = 501591 × 21 × 31 × 83631
LCM(50159,50178) = 2516878302
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