What is the Least Common Multiple of 19649 and 19668?

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 19649 and 19668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19649 and 19668, than apply into the LCM equation.

GCF(19649,19668) = 1
LCM(19649,19668) = ( 19649 × 19668) / 1
LCM(19649,19668) = 386456532 / 1
LCM(19649,19668) = 386456532

Least Common Multiple (LCM) of 19649 and 19668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19649 and 19668. First we will calculate the prime factors of 19649 and 19668.

Prime Factorization of 19649

Prime Factorization of 19668

Now multiplying the highest exponent prime factors to calculate the LCM of 19649 and 19668.

LCM(19649,19668) = 7² × 401¹ × 2² × 3¹ × 11¹ × 149¹
LCM(19649,19668) = 386456532