What is the Least Common Multiple of 50153 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 50153 and 50162 is 2515774786.
LCM(50153,50162) = 2515774786
Least Common Multiple of 50153 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 50153 and 50162, than apply into the LCM equation.
GCF(50153,50162) = 1
LCM(50153,50162) = ( 50153 × 50162) / 1
LCM(50153,50162) = 2515774786 / 1
LCM(50153,50162) = 2515774786
Least Common Multiple (LCM) of 50153 and 50162 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50153 and 50162. First we will calculate the prime factors of 50153 and 50162.
Prime Factorization of 50153
Prime factors of 50153 are 50153. Prime factorization of 50153 in exponential form is:
50153 = 501531
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 50153 and 50162.
LCM(50153,50162) = 501531 × 21 × 71 × 35831
LCM(50153,50162) = 2515774786
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