What is the Least Common Multiple of 19760 and 19775?

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 19775 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 19775, than apply into the LCM equation.

GCF(19760,19775) = 5
LCM(19760,19775) = ( 19760 × 19775) / 5
LCM(19760,19775) = 390754000 / 5
LCM(19760,19775) = 78150800

Least Common Multiple (LCM) of 19760 and 19775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19760 and 19775. First we will calculate the prime factors of 19760 and 19775.

Prime Factorization of 19760

Prime Factorization of 19775

Now multiplying the highest exponent prime factors to calculate the LCM of 19760 and 19775.

LCM(19760,19775) = 2⁴ × 5² × 13¹ × 19¹ × 7¹ × 113¹
LCM(19760,19775) = 78150800