What is the Least Common Multiple of 55670 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 55670 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 55670 and 55680, than apply into the LCM equation.

GCF(55670,55680) = 10
LCM(55670,55680) = ( 55670 × 55680) / 10
LCM(55670,55680) = 3099705600 / 10
LCM(55670,55680) = 309970560

Least Common Multiple (LCM) of 55670 and 55680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55670 and 55680. First we will calculate the prime factors of 55670 and 55680.

Prime Factorization of 55670

Prime Factorization of 55680

Now multiplying the highest exponent prime factors to calculate the LCM of 55670 and 55680.

LCM(55670,55680) = 2⁷ × 5¹ × 19¹ × 293¹ × 3¹ × 29¹
LCM(55670,55680) = 309970560