What is the Least Common Multiple of 50949 and 50954?

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 50949 and 50954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50949 and 50954, than apply into the LCM equation.

GCF(50949,50954) = 1
LCM(50949,50954) = ( 50949 × 50954) / 1
LCM(50949,50954) = 2596055346 / 1
LCM(50949,50954) = 2596055346

Least Common Multiple (LCM) of 50949 and 50954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50949 and 50954. First we will calculate the prime factors of 50949 and 50954.

Prime Factorization of 50949

Prime Factorization of 50954

Now multiplying the highest exponent prime factors to calculate the LCM of 50949 and 50954.

LCM(50949,50954) = 3⁴ × 17¹ × 37¹ × 2¹ × 73¹ × 349¹
LCM(50949,50954) = 2596055346