What is the Least Common Multiple of 42209 and 42224?

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 42209 and 42224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42209 and 42224, than apply into the LCM equation.

GCF(42209,42224) = 1
LCM(42209,42224) = ( 42209 × 42224) / 1
LCM(42209,42224) = 1782232816 / 1
LCM(42209,42224) = 1782232816

Least Common Multiple (LCM) of 42209 and 42224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42209 and 42224. First we will calculate the prime factors of 42209 and 42224.

Prime Factorization of 42209

Prime Factorization of 42224

Now multiplying the highest exponent prime factors to calculate the LCM of 42209 and 42224.

LCM(42209,42224) = 42209¹ × 2⁴ × 7¹ × 13¹ × 29¹
LCM(42209,42224) = 1782232816