What is the Least Common Multiple of 50480 and 50495?

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 50480 and 50495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50480 and 50495, than apply into the LCM equation.

GCF(50480,50495) = 5
LCM(50480,50495) = ( 50480 × 50495) / 5
LCM(50480,50495) = 2548987600 / 5
LCM(50480,50495) = 509797520

Least Common Multiple (LCM) of 50480 and 50495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50480 and 50495. First we will calculate the prime factors of 50480 and 50495.

Prime Factorization of 50480

Prime Factorization of 50495

Now multiplying the highest exponent prime factors to calculate the LCM of 50480 and 50495.

LCM(50480,50495) = 2⁴ × 5¹ × 631¹ × 10099¹
LCM(50480,50495) = 509797520