What is the Least Common Multiple of 22420 and 22432?

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 22420 and 22432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22420 and 22432, than apply into the LCM equation.

GCF(22420,22432) = 4
LCM(22420,22432) = ( 22420 × 22432) / 4
LCM(22420,22432) = 502925440 / 4
LCM(22420,22432) = 125731360

Least Common Multiple (LCM) of 22420 and 22432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22420 and 22432. First we will calculate the prime factors of 22420 and 22432.

Prime Factorization of 22420

Prime Factorization of 22432

Now multiplying the highest exponent prime factors to calculate the LCM of 22420 and 22432.

LCM(22420,22432) = 2⁵ × 5¹ × 19¹ × 59¹ × 701¹
LCM(22420,22432) = 125731360