What is the Least Common Multiple of 63215 and 63235?

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 63215 and 63235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63215 and 63235, than apply into the LCM equation.

GCF(63215,63235) = 5
LCM(63215,63235) = ( 63215 × 63235) / 5
LCM(63215,63235) = 3997400525 / 5
LCM(63215,63235) = 799480105

Least Common Multiple (LCM) of 63215 and 63235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63215 and 63235. First we will calculate the prime factors of 63215 and 63235.

Prime Factorization of 63215

Prime Factorization of 63235

Now multiplying the highest exponent prime factors to calculate the LCM of 63215 and 63235.

LCM(63215,63235) = 5¹ × 47¹ × 269¹ × 12647¹
LCM(63215,63235) = 799480105