What is the Least Common Multiple of 63016 and 63030?

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 63016 and 63030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63016 and 63030, than apply into the LCM equation.

GCF(63016,63030) = 2
LCM(63016,63030) = ( 63016 × 63030) / 2
LCM(63016,63030) = 3971898480 / 2
LCM(63016,63030) = 1985949240

Least Common Multiple (LCM) of 63016 and 63030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63016 and 63030. First we will calculate the prime factors of 63016 and 63030.

Prime Factorization of 63016

Prime Factorization of 63030

Now multiplying the highest exponent prime factors to calculate the LCM of 63016 and 63030.

LCM(63016,63030) = 2³ × 7877¹ × 3¹ × 5¹ × 11¹ × 191¹
LCM(63016,63030) = 1985949240