What is the Least Common Multiple of 50690 and 50695?

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 50690 and 50695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50690 and 50695, than apply into the LCM equation.

GCF(50690,50695) = 5
LCM(50690,50695) = ( 50690 × 50695) / 5
LCM(50690,50695) = 2569729550 / 5
LCM(50690,50695) = 513945910

Least Common Multiple (LCM) of 50690 and 50695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50690 and 50695. First we will calculate the prime factors of 50690 and 50695.

Prime Factorization of 50690

Prime Factorization of 50695

Now multiplying the highest exponent prime factors to calculate the LCM of 50690 and 50695.

LCM(50690,50695) = 2¹ × 5¹ × 37¹ × 137¹ × 10139¹
LCM(50690,50695) = 513945910