What is the Least Common Multiple of 50154 and 50158?
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 50154 and 50158 is 1257812166.
LCM(50154,50158) = 1257812166
Least Common Multiple of 50154 and 50158 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50154 and 50158, than apply into the LCM equation.
GCF(50154,50158) = 2
LCM(50154,50158) = ( 50154 × 50158) / 2
LCM(50154,50158) = 2515624332 / 2
LCM(50154,50158) = 1257812166
Least Common Multiple (LCM) of 50154 and 50158 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50154 and 50158. First we will calculate the prime factors of 50154 and 50158.
Prime Factorization of 50154
Prime factors of 50154 are 2, 3, 13, 643. Prime factorization of 50154 in exponential form is:
50154 = 21 × 31 × 131 × 6431
Prime Factorization of 50158
Prime factors of 50158 are 2, 31, 809. Prime factorization of 50158 in exponential form is:
50158 = 21 × 311 × 8091
Now multiplying the highest exponent prime factors to calculate the LCM of 50154 and 50158.
LCM(50154,50158) = 21 × 31 × 131 × 6431 × 311 × 8091
LCM(50154,50158) = 1257812166
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