What is the Least Common Multiple of 69916 and 69936?

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 69916 and 69936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69916 and 69936, than apply into the LCM equation.

GCF(69916,69936) = 4
LCM(69916,69936) = ( 69916 × 69936) / 4
LCM(69916,69936) = 4889645376 / 4
LCM(69916,69936) = 1222411344

Least Common Multiple (LCM) of 69916 and 69936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69916 and 69936. First we will calculate the prime factors of 69916 and 69936.

Prime Factorization of 69916

Prime Factorization of 69936

Now multiplying the highest exponent prime factors to calculate the LCM of 69916 and 69936.

LCM(69916,69936) = 2⁴ × 7¹ × 11¹ × 227¹ × 3¹ × 31¹ × 47¹
LCM(69916,69936) = 1222411344