What is the Least Common Multiple of 67170 and 67188?

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 67170 and 67188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67170 and 67188, than apply into the LCM equation.

GCF(67170,67188) = 6
LCM(67170,67188) = ( 67170 × 67188) / 6
LCM(67170,67188) = 4513017960 / 6
LCM(67170,67188) = 752169660

Least Common Multiple (LCM) of 67170 and 67188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67170 and 67188. First we will calculate the prime factors of 67170 and 67188.

Prime Factorization of 67170

Prime Factorization of 67188

Now multiplying the highest exponent prime factors to calculate the LCM of 67170 and 67188.

LCM(67170,67188) = 2² × 3¹ × 5¹ × 2239¹ × 11¹ × 509¹
LCM(67170,67188) = 752169660