What is the Least Common Multiple of 35232 and 35237?

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 35232 and 35237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35232 and 35237, than apply into the LCM equation.

GCF(35232,35237) = 1
LCM(35232,35237) = ( 35232 × 35237) / 1
LCM(35232,35237) = 1241469984 / 1
LCM(35232,35237) = 1241469984

Least Common Multiple (LCM) of 35232 and 35237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35232 and 35237. First we will calculate the prime factors of 35232 and 35237.

Prime Factorization of 35232

Prime Factorization of 35237

Now multiplying the highest exponent prime factors to calculate the LCM of 35232 and 35237.

LCM(35232,35237) = 2⁵ × 3¹ × 367¹ × 167¹ × 211¹
LCM(35232,35237) = 1241469984