What is the Least Common Multiple of 19960 and 19965?

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 19960 and 19965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19960 and 19965, than apply into the LCM equation.

GCF(19960,19965) = 5
LCM(19960,19965) = ( 19960 × 19965) / 5
LCM(19960,19965) = 398501400 / 5
LCM(19960,19965) = 79700280

Least Common Multiple (LCM) of 19960 and 19965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19960 and 19965. First we will calculate the prime factors of 19960 and 19965.

Prime Factorization of 19960

Prime Factorization of 19965

Now multiplying the highest exponent prime factors to calculate the LCM of 19960 and 19965.

LCM(19960,19965) = 2³ × 5¹ × 499¹ × 3¹ × 11³
LCM(19960,19965) = 79700280