What is the Least Common Multiple of 50159 and 50179?
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 50179 is 2516928461.
LCM(50159,50179) = 2516928461
Least Common Multiple of 50159 and 50179 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 50179, than apply into the LCM equation.
GCF(50159,50179) = 1
LCM(50159,50179) = ( 50159 × 50179) / 1
LCM(50159,50179) = 2516928461 / 1
LCM(50159,50179) = 2516928461
Least Common Multiple (LCM) of 50159 and 50179 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50159 and 50179. First we will calculate the prime factors of 50159 and 50179.
Prime Factorization of 50159
Prime factors of 50159 are 50159. Prime factorization of 50159 in exponential form is:
50159 = 501591
Prime Factorization of 50179
Prime factors of 50179 are 19, 139. Prime factorization of 50179 in exponential form is:
50179 = 192 × 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 50159 and 50179.
LCM(50159,50179) = 501591 × 192 × 1391
LCM(50159,50179) = 2516928461
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