What is the Least Common Multiple of 63006 and 63010?

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 63006 and 63010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63006 and 63010, than apply into the LCM equation.

GCF(63006,63010) = 2
LCM(63006,63010) = ( 63006 × 63010) / 2
LCM(63006,63010) = 3970008060 / 2
LCM(63006,63010) = 1985004030

Least Common Multiple (LCM) of 63006 and 63010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63006 and 63010. First we will calculate the prime factors of 63006 and 63010.

Prime Factorization of 63006

Prime Factorization of 63010

Now multiplying the highest exponent prime factors to calculate the LCM of 63006 and 63010.

LCM(63006,63010) = 2¹ × 3¹ × 10501¹ × 5¹ × 6301¹
LCM(63006,63010) = 1985004030