What is the Least Common Multiple of 50153 and 50157?
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 50157 is 2515524021.
LCM(50153,50157) = 2515524021
Least Common Multiple of 50153 and 50157 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 50157, than apply into the LCM equation.
GCF(50153,50157) = 1
LCM(50153,50157) = ( 50153 × 50157) / 1
LCM(50153,50157) = 2515524021 / 1
LCM(50153,50157) = 2515524021
Least Common Multiple (LCM) of 50153 and 50157 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50153 and 50157. First we will calculate the prime factors of 50153 and 50157.
Prime Factorization of 50153
Prime factors of 50153 are 50153. Prime factorization of 50153 in exponential form is:
50153 = 501531
Prime Factorization of 50157
Prime factors of 50157 are 3, 5573. Prime factorization of 50157 in exponential form is:
50157 = 32 × 55731
Now multiplying the highest exponent prime factors to calculate the LCM of 50153 and 50157.
LCM(50153,50157) = 501531 × 32 × 55731
LCM(50153,50157) = 2515524021
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