What is the Least Common Multiple of 50077 and 50087?
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 50077 and 50087 is 2508206699.
LCM(50077,50087) = 2508206699
Least Common Multiple of 50077 and 50087 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50077 and 50087, than apply into the LCM equation.
GCF(50077,50087) = 1
LCM(50077,50087) = ( 50077 × 50087) / 1
LCM(50077,50087) = 2508206699 / 1
LCM(50077,50087) = 2508206699
Least Common Multiple (LCM) of 50077 and 50087 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50077 and 50087. First we will calculate the prime factors of 50077 and 50087.
Prime Factorization of 50077
Prime factors of 50077 are 50077. Prime factorization of 50077 in exponential form is:
50077 = 500771
Prime Factorization of 50087
Prime factors of 50087 are 50087. Prime factorization of 50087 in exponential form is:
50087 = 500871
Now multiplying the highest exponent prime factors to calculate the LCM of 50077 and 50087.
LCM(50077,50087) = 500771 × 500871
LCM(50077,50087) = 2508206699
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