What is the Least Common Multiple of 63150 and 63159?

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 63150 and 63159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63150 and 63159, than apply into the LCM equation.

GCF(63150,63159) = 3
LCM(63150,63159) = ( 63150 × 63159) / 3
LCM(63150,63159) = 3988490850 / 3
LCM(63150,63159) = 1329496950

Least Common Multiple (LCM) of 63150 and 63159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63150 and 63159. First we will calculate the prime factors of 63150 and 63159.

Prime Factorization of 63150

Prime Factorization of 63159

Now multiplying the highest exponent prime factors to calculate the LCM of 63150 and 63159.

LCM(63150,63159) = 2¹ × 3¹ × 5² × 421¹ × 37¹ × 569¹
LCM(63150,63159) = 1329496950