What is the Least Common Multiple of 63036 and 63042?

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 63036 and 63042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63036 and 63042, than apply into the LCM equation.

GCF(63036,63042) = 6
LCM(63036,63042) = ( 63036 × 63042) / 6
LCM(63036,63042) = 3973915512 / 6
LCM(63036,63042) = 662319252

Least Common Multiple (LCM) of 63036 and 63042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63036 and 63042. First we will calculate the prime factors of 63036 and 63042.

Prime Factorization of 63036

Prime Factorization of 63042

Now multiplying the highest exponent prime factors to calculate the LCM of 63036 and 63042.

LCM(63036,63042) = 2² × 3² × 17¹ × 103¹ × 7¹ × 19¹ × 79¹
LCM(63036,63042) = 662319252