What is the Least Common Multiple of 22400 and 22420?

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 22400 and 22420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22400 and 22420, than apply into the LCM equation.

GCF(22400,22420) = 20
LCM(22400,22420) = ( 22400 × 22420) / 20
LCM(22400,22420) = 502208000 / 20
LCM(22400,22420) = 25110400

Least Common Multiple (LCM) of 22400 and 22420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22400 and 22420. First we will calculate the prime factors of 22400 and 22420.

Prime Factorization of 22400

Prime Factorization of 22420

Now multiplying the highest exponent prime factors to calculate the LCM of 22400 and 22420.

LCM(22400,22420) = 2⁷ × 5² × 7¹ × 19¹ × 59¹
LCM(22400,22420) = 25110400