What is the Least Common Multiple of 43214 and 43224?

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 43214 and 43224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43214 and 43224, than apply into the LCM equation.

GCF(43214,43224) = 2
LCM(43214,43224) = ( 43214 × 43224) / 2
LCM(43214,43224) = 1867881936 / 2
LCM(43214,43224) = 933940968

Least Common Multiple (LCM) of 43214 and 43224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43214 and 43224. First we will calculate the prime factors of 43214 and 43224.

Prime Factorization of 43214

Prime Factorization of 43224

Now multiplying the highest exponent prime factors to calculate the LCM of 43214 and 43224.

LCM(43214,43224) = 2³ × 17¹ × 31¹ × 41¹ × 3¹ × 1801¹
LCM(43214,43224) = 933940968