What is the Least Common Multiple of 20969 and 20988?

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 20969 and 20988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20969 and 20988, than apply into the LCM equation.

GCF(20969,20988) = 1
LCM(20969,20988) = ( 20969 × 20988) / 1
LCM(20969,20988) = 440097372 / 1
LCM(20969,20988) = 440097372

Least Common Multiple (LCM) of 20969 and 20988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20969 and 20988. First we will calculate the prime factors of 20969 and 20988.

Prime Factorization of 20969

Prime Factorization of 20988

Now multiplying the highest exponent prime factors to calculate the LCM of 20969 and 20988.

LCM(20969,20988) = 13¹ × 1613¹ × 2² × 3² × 11¹ × 53¹
LCM(20969,20988) = 440097372