What is the Least Common Multiple of 55665 and 55680?

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 55665 and 55680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55665 and 55680, than apply into the LCM equation.

GCF(55665,55680) = 15
LCM(55665,55680) = ( 55665 × 55680) / 15
LCM(55665,55680) = 3099427200 / 15
LCM(55665,55680) = 206628480

Least Common Multiple (LCM) of 55665 and 55680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55665 and 55680. First we will calculate the prime factors of 55665 and 55680.

Prime Factorization of 55665

Prime Factorization of 55680

Now multiplying the highest exponent prime factors to calculate the LCM of 55665 and 55680.

LCM(55665,55680) = 3² × 5¹ × 1237¹ × 2⁷ × 29¹
LCM(55665,55680) = 206628480