What is the Least Common Multiple of 55656 and 55674?

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 55656 and 55674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55656 and 55674, than apply into the LCM equation.

GCF(55656,55674) = 18
LCM(55656,55674) = ( 55656 × 55674) / 18
LCM(55656,55674) = 3098592144 / 18
LCM(55656,55674) = 172144008

Least Common Multiple (LCM) of 55656 and 55674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55656 and 55674. First we will calculate the prime factors of 55656 and 55674.

Prime Factorization of 55656

Prime Factorization of 55674

Now multiplying the highest exponent prime factors to calculate the LCM of 55656 and 55674.

LCM(55656,55674) = 2³ × 3³ × 773¹ × 1031¹
LCM(55656,55674) = 172144008