What is the Least Common Multiple of 66324 and 66336?

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 66324 and 66336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66324 and 66336, than apply into the LCM equation.

GCF(66324,66336) = 12
LCM(66324,66336) = ( 66324 × 66336) / 12
LCM(66324,66336) = 4399668864 / 12
LCM(66324,66336) = 366639072

Least Common Multiple (LCM) of 66324 and 66336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66324 and 66336. First we will calculate the prime factors of 66324 and 66336.

Prime Factorization of 66324

Prime Factorization of 66336

Now multiplying the highest exponent prime factors to calculate the LCM of 66324 and 66336.

LCM(66324,66336) = 2⁵ × 3¹ × 5527¹ × 691¹
LCM(66324,66336) = 366639072