What is the Least Common Multiple of 20919 and 20932?

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 20919 and 20932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20919 and 20932, than apply into the LCM equation.

GCF(20919,20932) = 1
LCM(20919,20932) = ( 20919 × 20932) / 1
LCM(20919,20932) = 437876508 / 1
LCM(20919,20932) = 437876508

Least Common Multiple (LCM) of 20919 and 20932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20919 and 20932. First we will calculate the prime factors of 20919 and 20932.

Prime Factorization of 20919

Prime Factorization of 20932

Now multiplying the highest exponent prime factors to calculate the LCM of 20919 and 20932.

LCM(20919,20932) = 3¹ × 19¹ × 367¹ × 2² × 5233¹
LCM(20919,20932) = 437876508