What is the Least Common Multiple of 35214 and 35232?

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 35232 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 35232, than apply into the LCM equation.

GCF(35214,35232) = 6
LCM(35214,35232) = ( 35214 × 35232) / 6
LCM(35214,35232) = 1240659648 / 6
LCM(35214,35232) = 206776608

Least Common Multiple (LCM) of 35214 and 35232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35214 and 35232. First we will calculate the prime factors of 35214 and 35232.

Prime Factorization of 35214

Prime Factorization of 35232

Now multiplying the highest exponent prime factors to calculate the LCM of 35214 and 35232.

LCM(35214,35232) = 2⁵ × 3¹ × 5869¹ × 367¹
LCM(35214,35232) = 206776608