What is the Least Common Multiple of 50480 and 50491?

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 50491 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 50491, than apply into the LCM equation.

GCF(50480,50491) = 1
LCM(50480,50491) = ( 50480 × 50491) / 1
LCM(50480,50491) = 2548785680 / 1
LCM(50480,50491) = 2548785680

Least Common Multiple (LCM) of 50480 and 50491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50480 and 50491. First we will calculate the prime factors of 50480 and 50491.

Prime Factorization of 50480

Prime Factorization of 50491

Now multiplying the highest exponent prime factors to calculate the LCM of 50480 and 50491.

LCM(50480,50491) = 2⁴ × 5¹ × 631¹ × 7¹ × 7213¹
LCM(50480,50491) = 2548785680