What is the Least Common Multiple of 50524 and 50534?

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 50524 and 50534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50524 and 50534, than apply into the LCM equation.

GCF(50524,50534) = 2
LCM(50524,50534) = ( 50524 × 50534) / 2
LCM(50524,50534) = 2553179816 / 2
LCM(50524,50534) = 1276589908

Least Common Multiple (LCM) of 50524 and 50534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50524 and 50534. First we will calculate the prime factors of 50524 and 50534.

Prime Factorization of 50524

Prime Factorization of 50534

Now multiplying the highest exponent prime factors to calculate the LCM of 50524 and 50534.

LCM(50524,50534) = 2² × 17¹ × 743¹ × 11¹ × 2297¹
LCM(50524,50534) = 1276589908