What is the Least Common Multiple of 63325 and 63341?

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 63325 and 63341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63325 and 63341, than apply into the LCM equation.

GCF(63325,63341) = 1
LCM(63325,63341) = ( 63325 × 63341) / 1
LCM(63325,63341) = 4011068825 / 1
LCM(63325,63341) = 4011068825

Least Common Multiple (LCM) of 63325 and 63341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63325 and 63341. First we will calculate the prime factors of 63325 and 63341.

Prime Factorization of 63325

Prime Factorization of 63341

Now multiplying the highest exponent prime factors to calculate the LCM of 63325 and 63341.

LCM(63325,63341) = 5² × 17¹ × 149¹ × 97¹ × 653¹
LCM(63325,63341) = 4011068825