What is the Least Common Multiple of 21150 and 21170?

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 21150 and 21170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21150 and 21170, than apply into the LCM equation.

GCF(21150,21170) = 10
LCM(21150,21170) = ( 21150 × 21170) / 10
LCM(21150,21170) = 447745500 / 10
LCM(21150,21170) = 44774550

Least Common Multiple (LCM) of 21150 and 21170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21150 and 21170. First we will calculate the prime factors of 21150 and 21170.

Prime Factorization of 21150

Prime Factorization of 21170

Now multiplying the highest exponent prime factors to calculate the LCM of 21150 and 21170.

LCM(21150,21170) = 2¹ × 3² × 5² × 47¹ × 29¹ × 73¹
LCM(21150,21170) = 44774550