What is the Least Common Multiple of 35214 and 35223?

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 35214 and 35223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35214 and 35223, than apply into the LCM equation.

GCF(35214,35223) = 3
LCM(35214,35223) = ( 35214 × 35223) / 3
LCM(35214,35223) = 1240342722 / 3
LCM(35214,35223) = 413447574

Least Common Multiple (LCM) of 35214 and 35223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35214 and 35223. First we will calculate the prime factors of 35214 and 35223.

Prime Factorization of 35214

Prime Factorization of 35223

Now multiplying the highest exponent prime factors to calculate the LCM of 35214 and 35223.

LCM(35214,35223) = 2¹ × 3¹ × 5869¹ × 59¹ × 199¹
LCM(35214,35223) = 413447574