What is the Least Common Multiple of 67218 and 67236?

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 67218 and 67236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67218 and 67236, than apply into the LCM equation.

GCF(67218,67236) = 6
LCM(67218,67236) = ( 67218 × 67236) / 6
LCM(67218,67236) = 4519469448 / 6
LCM(67218,67236) = 753244908

Least Common Multiple (LCM) of 67218 and 67236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67218 and 67236. First we will calculate the prime factors of 67218 and 67236.

Prime Factorization of 67218

Prime Factorization of 67236

Now multiplying the highest exponent prime factors to calculate the LCM of 67218 and 67236.

LCM(67218,67236) = 2² × 3¹ × 17¹ × 659¹ × 13¹ × 431¹
LCM(67218,67236) = 753244908