What is the Least Common Multiple of 19642 and 19662?

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 19642 and 19662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19642 and 19662, than apply into the LCM equation.

GCF(19642,19662) = 2
LCM(19642,19662) = ( 19642 × 19662) / 2
LCM(19642,19662) = 386201004 / 2
LCM(19642,19662) = 193100502

Least Common Multiple (LCM) of 19642 and 19662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19642 and 19662. First we will calculate the prime factors of 19642 and 19662.

Prime Factorization of 19642

Prime Factorization of 19662

Now multiplying the highest exponent prime factors to calculate the LCM of 19642 and 19662.

LCM(19642,19662) = 2¹ × 7¹ × 23¹ × 61¹ × 3¹ × 29¹ × 113¹
LCM(19642,19662) = 193100502