What is the Least Common Multiple of 45210 and 45222?

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 45210 and 45222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45210 and 45222, than apply into the LCM equation.

GCF(45210,45222) = 6
LCM(45210,45222) = ( 45210 × 45222) / 6
LCM(45210,45222) = 2044486620 / 6
LCM(45210,45222) = 340747770

Least Common Multiple (LCM) of 45210 and 45222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45210 and 45222. First we will calculate the prime factors of 45210 and 45222.

Prime Factorization of 45210

Prime Factorization of 45222

Now multiplying the highest exponent prime factors to calculate the LCM of 45210 and 45222.

LCM(45210,45222) = 2¹ × 3¹ × 5¹ × 11¹ × 137¹ × 7537¹
LCM(45210,45222) = 340747770