What is the Least Common Multiple of 20680 and 20694?

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 20680 and 20694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20680 and 20694, than apply into the LCM equation.

GCF(20680,20694) = 2
LCM(20680,20694) = ( 20680 × 20694) / 2
LCM(20680,20694) = 427951920 / 2
LCM(20680,20694) = 213975960

Least Common Multiple (LCM) of 20680 and 20694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20680 and 20694. First we will calculate the prime factors of 20680 and 20694.

Prime Factorization of 20680

Prime Factorization of 20694

Now multiplying the highest exponent prime factors to calculate the LCM of 20680 and 20694.

LCM(20680,20694) = 2³ × 5¹ × 11¹ × 47¹ × 3¹ × 3449¹
LCM(20680,20694) = 213975960