What is the Least Common Multiple of 50605 and 50624?

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 50605 and 50624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50605 and 50624, than apply into the LCM equation.

GCF(50605,50624) = 1
LCM(50605,50624) = ( 50605 × 50624) / 1
LCM(50605,50624) = 2561827520 / 1
LCM(50605,50624) = 2561827520

Least Common Multiple (LCM) of 50605 and 50624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50605 and 50624. First we will calculate the prime factors of 50605 and 50624.

Prime Factorization of 50605

Prime Factorization of 50624

Now multiplying the highest exponent prime factors to calculate the LCM of 50605 and 50624.

LCM(50605,50624) = 5¹ × 29¹ × 349¹ × 2⁶ × 7¹ × 113¹
LCM(50605,50624) = 2561827520