What is the Least Common Multiple of 69660 and 69678?

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 69660 and 69678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69660 and 69678, than apply into the LCM equation.

GCF(69660,69678) = 18
LCM(69660,69678) = ( 69660 × 69678) / 18
LCM(69660,69678) = 4853769480 / 18
LCM(69660,69678) = 269653860

Least Common Multiple (LCM) of 69660 and 69678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69660 and 69678. First we will calculate the prime factors of 69660 and 69678.

Prime Factorization of 69660

Prime Factorization of 69678

Now multiplying the highest exponent prime factors to calculate the LCM of 69660 and 69678.

LCM(69660,69678) = 2² × 3⁴ × 5¹ × 43¹ × 7² × 79¹
LCM(69660,69678) = 269653860