What is the Least Common Multiple of 19551 and 19570?

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 19551 and 19570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19551 and 19570, than apply into the LCM equation.

GCF(19551,19570) = 19
LCM(19551,19570) = ( 19551 × 19570) / 19
LCM(19551,19570) = 382613070 / 19
LCM(19551,19570) = 20137530

Least Common Multiple (LCM) of 19551 and 19570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19551 and 19570. First we will calculate the prime factors of 19551 and 19570.

Prime Factorization of 19551

Prime Factorization of 19570

Now multiplying the highest exponent prime factors to calculate the LCM of 19551 and 19570.

LCM(19551,19570) = 3¹ × 7³ × 19¹ × 2¹ × 5¹ × 103¹
LCM(19551,19570) = 20137530