What is the Least Common Multiple of 63319 and 63337?

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 63319 and 63337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63319 and 63337, than apply into the LCM equation.

GCF(63319,63337) = 1
LCM(63319,63337) = ( 63319 × 63337) / 1
LCM(63319,63337) = 4010435503 / 1
LCM(63319,63337) = 4010435503

Least Common Multiple (LCM) of 63319 and 63337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63319 and 63337. First we will calculate the prime factors of 63319 and 63337.

Prime Factorization of 63319

Prime Factorization of 63337

Now multiplying the highest exponent prime factors to calculate the LCM of 63319 and 63337.

LCM(63319,63337) = 23¹ × 2753¹ × 63337¹
LCM(63319,63337) = 4010435503