What is the Least Common Multiple of 61760 and 61770?

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 61760 and 61770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61760 and 61770, than apply into the LCM equation.

GCF(61760,61770) = 10
LCM(61760,61770) = ( 61760 × 61770) / 10
LCM(61760,61770) = 3814915200 / 10
LCM(61760,61770) = 381491520

Least Common Multiple (LCM) of 61760 and 61770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61760 and 61770. First we will calculate the prime factors of 61760 and 61770.

Prime Factorization of 61760

Prime Factorization of 61770

Now multiplying the highest exponent prime factors to calculate the LCM of 61760 and 61770.

LCM(61760,61770) = 2⁶ × 5¹ × 193¹ × 3¹ × 29¹ × 71¹
LCM(61760,61770) = 381491520