What is the Least Common Multiple of 21078 and 21090?

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 21078 and 21090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21078 and 21090, than apply into the LCM equation.

GCF(21078,21090) = 6
LCM(21078,21090) = ( 21078 × 21090) / 6
LCM(21078,21090) = 444535020 / 6
LCM(21078,21090) = 74089170

Least Common Multiple (LCM) of 21078 and 21090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21078 and 21090. First we will calculate the prime factors of 21078 and 21090.

Prime Factorization of 21078

Prime Factorization of 21090

Now multiplying the highest exponent prime factors to calculate the LCM of 21078 and 21090.

LCM(21078,21090) = 2¹ × 3² × 1171¹ × 5¹ × 19¹ × 37¹
LCM(21078,21090) = 74089170