What is the Least Common Multiple of 63030 and 63038?

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 63030 and 63038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63030 and 63038, than apply into the LCM equation.

GCF(63030,63038) = 2
LCM(63030,63038) = ( 63030 × 63038) / 2
LCM(63030,63038) = 3973285140 / 2
LCM(63030,63038) = 1986642570

Least Common Multiple (LCM) of 63030 and 63038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63030 and 63038. First we will calculate the prime factors of 63030 and 63038.

Prime Factorization of 63030

Prime Factorization of 63038

Now multiplying the highest exponent prime factors to calculate the LCM of 63030 and 63038.

LCM(63030,63038) = 2¹ × 3¹ × 5¹ × 11¹ × 191¹ × 43¹ × 733¹
LCM(63030,63038) = 1986642570