What is the Least Common Multiple of 69660 and 69676?

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 69676 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 69676, than apply into the LCM equation.

GCF(69660,69676) = 4
LCM(69660,69676) = ( 69660 × 69676) / 4
LCM(69660,69676) = 4853630160 / 4
LCM(69660,69676) = 1213407540

Least Common Multiple (LCM) of 69660 and 69676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69660 and 69676. First we will calculate the prime factors of 69660 and 69676.

Prime Factorization of 69660

Prime Factorization of 69676

Now multiplying the highest exponent prime factors to calculate the LCM of 69660 and 69676.

LCM(69660,69676) = 2² × 3⁴ × 5¹ × 43¹ × 17419¹
LCM(69660,69676) = 1213407540