What is the Least Common Multiple of 19684 and 19693?

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 19684 and 19693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19684 and 19693, than apply into the LCM equation.

GCF(19684,19693) = 1
LCM(19684,19693) = ( 19684 × 19693) / 1
LCM(19684,19693) = 387637012 / 1
LCM(19684,19693) = 387637012

Least Common Multiple (LCM) of 19684 and 19693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19684 and 19693. First we will calculate the prime factors of 19684 and 19693.

Prime Factorization of 19684

Prime Factorization of 19693

Now multiplying the highest exponent prime factors to calculate the LCM of 19684 and 19693.

LCM(19684,19693) = 2² × 7¹ × 19¹ × 37¹ × 47¹ × 419¹
LCM(19684,19693) = 387637012