What is the Least Common Multiple of 53705 and 53720?

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 53705 and 53720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53705 and 53720, than apply into the LCM equation.

GCF(53705,53720) = 5
LCM(53705,53720) = ( 53705 × 53720) / 5
LCM(53705,53720) = 2885032600 / 5
LCM(53705,53720) = 577006520

Least Common Multiple (LCM) of 53705 and 53720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53705 and 53720. First we will calculate the prime factors of 53705 and 53720.

Prime Factorization of 53705

Prime Factorization of 53720

Now multiplying the highest exponent prime factors to calculate the LCM of 53705 and 53720.

LCM(53705,53720) = 5¹ × 23¹ × 467¹ × 2³ × 17¹ × 79¹
LCM(53705,53720) = 577006520