What is the Least Common Multiple of 68164 and 68170?

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 68164 and 68170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68164 and 68170, than apply into the LCM equation.

GCF(68164,68170) = 2
LCM(68164,68170) = ( 68164 × 68170) / 2
LCM(68164,68170) = 4646739880 / 2
LCM(68164,68170) = 2323369940

Least Common Multiple (LCM) of 68164 and 68170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68164 and 68170. First we will calculate the prime factors of 68164 and 68170.

Prime Factorization of 68164

Prime Factorization of 68170

Now multiplying the highest exponent prime factors to calculate the LCM of 68164 and 68170.

LCM(68164,68170) = 2² × 17041¹ × 5¹ × 17¹ × 401¹
LCM(68164,68170) = 2323369940