What is the Least Common Multiple of 50774 and 50783?

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 of 50774 and 50783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50774 and 50783, than apply into the LCM equation.

GCF(50774,50783) = 1
LCM(50774,50783) = ( 50774 × 50783) / 1
LCM(50774,50783) = 2578456042 / 1
LCM(50774,50783) = 2578456042

Least Common Multiple (LCM) of 50774 and 50783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50774 and 50783. First we will calculate the prime factors of 50774 and 50783.

Prime Factorization of 50774

Prime Factorization of 50783

Now multiplying the highest exponent prime factors to calculate the LCM of 50774 and 50783.

LCM(50774,50783) = 2¹ × 53¹ × 479¹ × 43¹ × 1181¹
LCM(50774,50783) = 2578456042