What is the Least Common Multiple of 50157 and 50162?
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 50157 and 50162 is 2515975434.
LCM(50157,50162) = 2515975434
Least Common Multiple of 50157 and 50162 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50157 and 50162, than apply into the LCM equation.
GCF(50157,50162) = 1
LCM(50157,50162) = ( 50157 × 50162) / 1
LCM(50157,50162) = 2515975434 / 1
LCM(50157,50162) = 2515975434
Least Common Multiple (LCM) of 50157 and 50162 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50157 and 50162. First we will calculate the prime factors of 50157 and 50162.
Prime Factorization of 50157
Prime factors of 50157 are 3, 5573. Prime factorization of 50157 in exponential form is:
50157 = 32 × 55731
Prime Factorization of 50162
Prime factors of 50162 are 2, 7, 3583. Prime factorization of 50162 in exponential form is:
50162 = 21 × 71 × 35831
Now multiplying the highest exponent prime factors to calculate the LCM of 50157 and 50162.
LCM(50157,50162) = 32 × 55731 × 21 × 71 × 35831
LCM(50157,50162) = 2515975434
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