What is the Least Common Multiple of 69342 and 69360?

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 69342 and 69360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69342 and 69360, than apply into the LCM equation.

GCF(69342,69360) = 6
LCM(69342,69360) = ( 69342 × 69360) / 6
LCM(69342,69360) = 4809561120 / 6
LCM(69342,69360) = 801593520

Least Common Multiple (LCM) of 69342 and 69360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69342 and 69360. First we will calculate the prime factors of 69342 and 69360.

Prime Factorization of 69342

Prime Factorization of 69360

Now multiplying the highest exponent prime factors to calculate the LCM of 69342 and 69360.

LCM(69342,69360) = 2⁴ × 3¹ × 7¹ × 13¹ × 127¹ × 5¹ × 17²
LCM(69342,69360) = 801593520