What is the Least Common Multiple of 63238 and 63245?

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 63238 and 63245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63238 and 63245, than apply into the LCM equation.

GCF(63238,63245) = 7
LCM(63238,63245) = ( 63238 × 63245) / 7
LCM(63238,63245) = 3999487310 / 7
LCM(63238,63245) = 571355330

Least Common Multiple (LCM) of 63238 and 63245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63238 and 63245. First we will calculate the prime factors of 63238 and 63245.

Prime Factorization of 63238

Prime Factorization of 63245

Now multiplying the highest exponent prime factors to calculate the LCM of 63238 and 63245.

LCM(63238,63245) = 2¹ × 7¹ × 4517¹ × 5¹ × 13¹ × 139¹
LCM(63238,63245) = 571355330