What is the Least Common Multiple of 20752 and 20770?

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 20752 and 20770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20752 and 20770, than apply into the LCM equation.

GCF(20752,20770) = 2
LCM(20752,20770) = ( 20752 × 20770) / 2
LCM(20752,20770) = 431019040 / 2
LCM(20752,20770) = 215509520

Least Common Multiple (LCM) of 20752 and 20770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20752 and 20770. First we will calculate the prime factors of 20752 and 20770.

Prime Factorization of 20752

Prime Factorization of 20770

Now multiplying the highest exponent prime factors to calculate the LCM of 20752 and 20770.

LCM(20752,20770) = 2⁴ × 1297¹ × 5¹ × 31¹ × 67¹
LCM(20752,20770) = 215509520