What is the Least Common Multiple of 66340 and 66358?

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 66340 and 66358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66340 and 66358, than apply into the LCM equation.

GCF(66340,66358) = 2
LCM(66340,66358) = ( 66340 × 66358) / 2
LCM(66340,66358) = 4402189720 / 2
LCM(66340,66358) = 2201094860

Least Common Multiple (LCM) of 66340 and 66358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66340 and 66358. First we will calculate the prime factors of 66340 and 66358.

Prime Factorization of 66340

Prime Factorization of 66358

Now multiplying the highest exponent prime factors to calculate the LCM of 66340 and 66358.

LCM(66340,66358) = 2² × 5¹ × 31¹ × 107¹ × 33179¹
LCM(66340,66358) = 2201094860