What is the Least Common Multiple of 50767 and 50787?
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 50767 and 50787 is 2578303629.
LCM(50767,50787) = 2578303629
Least Common Multiple of 50767 and 50787 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50767 and 50787, than apply into the LCM equation.
GCF(50767,50787) = 1
LCM(50767,50787) = ( 50767 × 50787) / 1
LCM(50767,50787) = 2578303629 / 1
LCM(50767,50787) = 2578303629
Least Common Multiple (LCM) of 50767 and 50787 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50767 and 50787. First we will calculate the prime factors of 50767 and 50787.
Prime Factorization of 50767
Prime factors of 50767 are 50767. Prime factorization of 50767 in exponential form is:
50767 = 507671
Prime Factorization of 50787
Prime factors of 50787 are 3, 11, 19. Prime factorization of 50787 in exponential form is:
50787 = 35 × 111 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 50767 and 50787.
LCM(50767,50787) = 507671 × 35 × 111 × 191
LCM(50767,50787) = 2578303629
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