What is the Least Common Multiple of 53680 and 53700?

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 53680 and 53700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53680 and 53700, than apply into the LCM equation.

GCF(53680,53700) = 20
LCM(53680,53700) = ( 53680 × 53700) / 20
LCM(53680,53700) = 2882616000 / 20
LCM(53680,53700) = 144130800

Least Common Multiple (LCM) of 53680 and 53700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53680 and 53700. First we will calculate the prime factors of 53680 and 53700.

Prime Factorization of 53680

Prime Factorization of 53700

Now multiplying the highest exponent prime factors to calculate the LCM of 53680 and 53700.

LCM(53680,53700) = 2⁴ × 5² × 11¹ × 61¹ × 3¹ × 179¹
LCM(53680,53700) = 144130800