What is the Least Common Multiple of 22440 and 22448?

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 22440 and 22448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22440 and 22448, than apply into the LCM equation.

GCF(22440,22448) = 8
LCM(22440,22448) = ( 22440 × 22448) / 8
LCM(22440,22448) = 503733120 / 8
LCM(22440,22448) = 62966640

Least Common Multiple (LCM) of 22440 and 22448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22440 and 22448. First we will calculate the prime factors of 22440 and 22448.

Prime Factorization of 22440

Prime Factorization of 22448

Now multiplying the highest exponent prime factors to calculate the LCM of 22440 and 22448.

LCM(22440,22448) = 2⁴ × 3¹ × 5¹ × 11¹ × 17¹ × 23¹ × 61¹
LCM(22440,22448) = 62966640