What is the Least Common Multiple of 22470 and 22476?

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 22470 and 22476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22470 and 22476, than apply into the LCM equation.

GCF(22470,22476) = 6
LCM(22470,22476) = ( 22470 × 22476) / 6
LCM(22470,22476) = 505035720 / 6
LCM(22470,22476) = 84172620

Least Common Multiple (LCM) of 22470 and 22476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22470 and 22476. First we will calculate the prime factors of 22470 and 22476.

Prime Factorization of 22470

Prime Factorization of 22476

Now multiplying the highest exponent prime factors to calculate the LCM of 22470 and 22476.

LCM(22470,22476) = 2² × 3¹ × 5¹ × 7¹ × 107¹ × 1873¹
LCM(22470,22476) = 84172620