What is the Least Common Multiple of 20770 and 20787?

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 20770 and 20787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20770 and 20787, than apply into the LCM equation.

GCF(20770,20787) = 1
LCM(20770,20787) = ( 20770 × 20787) / 1
LCM(20770,20787) = 431745990 / 1
LCM(20770,20787) = 431745990

Least Common Multiple (LCM) of 20770 and 20787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20770 and 20787. First we will calculate the prime factors of 20770 and 20787.

Prime Factorization of 20770

Prime Factorization of 20787

Now multiplying the highest exponent prime factors to calculate the LCM of 20770 and 20787.

LCM(20770,20787) = 2¹ × 5¹ × 31¹ × 67¹ × 3¹ × 13² × 41¹
LCM(20770,20787) = 431745990