What is the Least Common Multiple of 61705 and 61720?

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 61705 and 61720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61705 and 61720, than apply into the LCM equation.

GCF(61705,61720) = 5
LCM(61705,61720) = ( 61705 × 61720) / 5
LCM(61705,61720) = 3808432600 / 5
LCM(61705,61720) = 761686520

Least Common Multiple (LCM) of 61705 and 61720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61705 and 61720. First we will calculate the prime factors of 61705 and 61720.

Prime Factorization of 61705

Prime Factorization of 61720

Now multiplying the highest exponent prime factors to calculate the LCM of 61705 and 61720.

LCM(61705,61720) = 5¹ × 7¹ × 41¹ × 43¹ × 2³ × 1543¹
LCM(61705,61720) = 761686520