What is the Least Common Multiple of 19949 and 19960?

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 19949 and 19960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19949 and 19960, than apply into the LCM equation.

GCF(19949,19960) = 1
LCM(19949,19960) = ( 19949 × 19960) / 1
LCM(19949,19960) = 398182040 / 1
LCM(19949,19960) = 398182040

Least Common Multiple (LCM) of 19949 and 19960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19949 and 19960. First we will calculate the prime factors of 19949 and 19960.

Prime Factorization of 19949

Prime Factorization of 19960

Now multiplying the highest exponent prime factors to calculate the LCM of 19949 and 19960.

LCM(19949,19960) = 19949¹ × 2³ × 5¹ × 499¹
LCM(19949,19960) = 398182040