What is the Least Common Multiple of 19760 and 19780?

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 19760 and 19780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19760 and 19780, than apply into the LCM equation.

GCF(19760,19780) = 20
LCM(19760,19780) = ( 19760 × 19780) / 20
LCM(19760,19780) = 390852800 / 20
LCM(19760,19780) = 19542640

Least Common Multiple (LCM) of 19760 and 19780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19760 and 19780. First we will calculate the prime factors of 19760 and 19780.

Prime Factorization of 19760

Prime Factorization of 19780

Now multiplying the highest exponent prime factors to calculate the LCM of 19760 and 19780.

LCM(19760,19780) = 2⁴ × 5¹ × 13¹ × 19¹ × 23¹ × 43¹
LCM(19760,19780) = 19542640