What is the Least Common Multiple of 19643 and 19651?

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 19643 and 19651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19643 and 19651, than apply into the LCM equation.

GCF(19643,19651) = 1
LCM(19643,19651) = ( 19643 × 19651) / 1
LCM(19643,19651) = 386004593 / 1
LCM(19643,19651) = 386004593

Least Common Multiple (LCM) of 19643 and 19651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19643 and 19651. First we will calculate the prime factors of 19643 and 19651.

Prime Factorization of 19643

Prime Factorization of 19651

Now multiplying the highest exponent prime factors to calculate the LCM of 19643 and 19651.

LCM(19643,19651) = 13¹ × 1511¹ × 43¹ × 457¹
LCM(19643,19651) = 386004593