What is the Least Common Multiple of 51767 and 51787?
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 51767 and 51787 is 2680857629.
LCM(51767,51787) = 2680857629
Least Common Multiple of 51767 and 51787 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51767 and 51787, than apply into the LCM equation.
GCF(51767,51787) = 1
LCM(51767,51787) = ( 51767 × 51787) / 1
LCM(51767,51787) = 2680857629 / 1
LCM(51767,51787) = 2680857629
Least Common Multiple (LCM) of 51767 and 51787 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 51767 and 51787. First we will calculate the prime factors of 51767 and 51787.
Prime Factorization of 51767
Prime factors of 51767 are 51767. Prime factorization of 51767 in exponential form is:
51767 = 517671
Prime Factorization of 51787
Prime factors of 51787 are 51787. Prime factorization of 51787 in exponential form is:
51787 = 517871
Now multiplying the highest exponent prime factors to calculate the LCM of 51767 and 51787.
LCM(51767,51787) = 517671 × 517871
LCM(51767,51787) = 2680857629
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