What is the Least Common Multiple of 21069 and 21080?

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 21069 and 21080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21069 and 21080, than apply into the LCM equation.

GCF(21069,21080) = 1
LCM(21069,21080) = ( 21069 × 21080) / 1
LCM(21069,21080) = 444134520 / 1
LCM(21069,21080) = 444134520

Least Common Multiple (LCM) of 21069 and 21080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21069 and 21080. First we will calculate the prime factors of 21069 and 21080.

Prime Factorization of 21069

Prime Factorization of 21080

Now multiplying the highest exponent prime factors to calculate the LCM of 21069 and 21080.

LCM(21069,21080) = 3² × 2341¹ × 2³ × 5¹ × 17¹ × 31¹
LCM(21069,21080) = 444134520