What is the Least Common Multiple of 63324 and 63342?

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 63324 and 63342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63324 and 63342, than apply into the LCM equation.

GCF(63324,63342) = 18
LCM(63324,63342) = ( 63324 × 63342) / 18
LCM(63324,63342) = 4011068808 / 18
LCM(63324,63342) = 222837156

Least Common Multiple (LCM) of 63324 and 63342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63324 and 63342. First we will calculate the prime factors of 63324 and 63342.

Prime Factorization of 63324

Prime Factorization of 63342

Now multiplying the highest exponent prime factors to calculate the LCM of 63324 and 63342.

LCM(63324,63342) = 2² × 3⁴ × 1759¹ × 17¹ × 23¹
LCM(63324,63342) = 222837156