What is the Least Common Multiple of 69936 and 69954?

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 69936 and 69954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69936 and 69954, than apply into the LCM equation.

GCF(69936,69954) = 6
LCM(69936,69954) = ( 69936 × 69954) / 6
LCM(69936,69954) = 4892302944 / 6
LCM(69936,69954) = 815383824

Least Common Multiple (LCM) of 69936 and 69954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69936 and 69954. First we will calculate the prime factors of 69936 and 69954.

Prime Factorization of 69936

Prime Factorization of 69954

Now multiplying the highest exponent prime factors to calculate the LCM of 69936 and 69954.

LCM(69936,69954) = 2⁴ × 3¹ × 31¹ × 47¹ × 89¹ × 131¹
LCM(69936,69954) = 815383824