What is the Least Common Multiple of 19620 and 19635?

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 19620 and 19635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19620 and 19635, than apply into the LCM equation.

GCF(19620,19635) = 15
LCM(19620,19635) = ( 19620 × 19635) / 15
LCM(19620,19635) = 385238700 / 15
LCM(19620,19635) = 25682580

Least Common Multiple (LCM) of 19620 and 19635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19620 and 19635. First we will calculate the prime factors of 19620 and 19635.

Prime Factorization of 19620

Prime Factorization of 19635

Now multiplying the highest exponent prime factors to calculate the LCM of 19620 and 19635.

LCM(19620,19635) = 2² × 3² × 5¹ × 109¹ × 7¹ × 11¹ × 17¹
LCM(19620,19635) = 25682580