What is the Least Common Multiple of 42224 and 42230?

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 42224 and 42230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42224 and 42230, than apply into the LCM equation.

GCF(42224,42230) = 2
LCM(42224,42230) = ( 42224 × 42230) / 2
LCM(42224,42230) = 1783119520 / 2
LCM(42224,42230) = 891559760

Least Common Multiple (LCM) of 42224 and 42230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42224 and 42230. First we will calculate the prime factors of 42224 and 42230.

Prime Factorization of 42224

Prime Factorization of 42230

Now multiplying the highest exponent prime factors to calculate the LCM of 42224 and 42230.

LCM(42224,42230) = 2⁴ × 7¹ × 13¹ × 29¹ × 5¹ × 41¹ × 103¹
LCM(42224,42230) = 891559760