What is the Least Common Multiple of 67164 and 67170?

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 67164 and 67170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67164 and 67170, than apply into the LCM equation.

GCF(67164,67170) = 6
LCM(67164,67170) = ( 67164 × 67170) / 6
LCM(67164,67170) = 4511405880 / 6
LCM(67164,67170) = 751900980

Least Common Multiple (LCM) of 67164 and 67170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67164 and 67170. First we will calculate the prime factors of 67164 and 67170.

Prime Factorization of 67164

Prime Factorization of 67170

Now multiplying the highest exponent prime factors to calculate the LCM of 67164 and 67170.

LCM(67164,67170) = 2² × 3¹ × 29¹ × 193¹ × 5¹ × 2239¹
LCM(67164,67170) = 751900980