What is the Least Common Multiple of 49760 and 49770?

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 49760 and 49770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49760 and 49770, than apply into the LCM equation.

GCF(49760,49770) = 10
LCM(49760,49770) = ( 49760 × 49770) / 10
LCM(49760,49770) = 2476555200 / 10
LCM(49760,49770) = 247655520

Least Common Multiple (LCM) of 49760 and 49770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49760 and 49770. First we will calculate the prime factors of 49760 and 49770.

Prime Factorization of 49760

Prime Factorization of 49770

Now multiplying the highest exponent prime factors to calculate the LCM of 49760 and 49770.

LCM(49760,49770) = 2⁵ × 5¹ × 311¹ × 3² × 7¹ × 79¹
LCM(49760,49770) = 247655520