What is the Least Common Multiple of 49760 and 49780?

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 49780 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 49780, than apply into the LCM equation.

GCF(49760,49780) = 20
LCM(49760,49780) = ( 49760 × 49780) / 20
LCM(49760,49780) = 2477052800 / 20
LCM(49760,49780) = 123852640

Least Common Multiple (LCM) of 49760 and 49780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49760 and 49780. First we will calculate the prime factors of 49760 and 49780.

Prime Factorization of 49760

Prime Factorization of 49780

Now multiplying the highest exponent prime factors to calculate the LCM of 49760 and 49780.

LCM(49760,49780) = 2⁵ × 5¹ × 311¹ × 19¹ × 131¹
LCM(49760,49780) = 123852640