What is the Least Common Multiple of 50049 and 50064?

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 50049 and 50064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50049 and 50064, than apply into the LCM equation.

GCF(50049,50064) = 3
LCM(50049,50064) = ( 50049 × 50064) / 3
LCM(50049,50064) = 2505653136 / 3
LCM(50049,50064) = 835217712

Least Common Multiple (LCM) of 50049 and 50064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50049 and 50064. First we will calculate the prime factors of 50049 and 50064.

Prime Factorization of 50049

Prime Factorization of 50064

Now multiplying the highest exponent prime factors to calculate the LCM of 50049 and 50064.

LCM(50049,50064) = 3² × 67¹ × 83¹ × 2⁴ × 7¹ × 149¹
LCM(50049,50064) = 835217712