What is the Least Common Multiple of 63345 and 63357?

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 63345 and 63357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63345 and 63357, than apply into the LCM equation.

GCF(63345,63357) = 3
LCM(63345,63357) = ( 63345 × 63357) / 3
LCM(63345,63357) = 4013349165 / 3
LCM(63345,63357) = 1337783055

Least Common Multiple (LCM) of 63345 and 63357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63345 and 63357. First we will calculate the prime factors of 63345 and 63357.

Prime Factorization of 63345

Prime Factorization of 63357

Now multiplying the highest exponent prime factors to calculate the LCM of 63345 and 63357.

LCM(63345,63357) = 3¹ × 5¹ × 41¹ × 103¹ × 7² × 431¹
LCM(63345,63357) = 1337783055