What is the Least Common Multiple of 61730 and 61745?

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 61730 and 61745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61730 and 61745, than apply into the LCM equation.

GCF(61730,61745) = 5
LCM(61730,61745) = ( 61730 × 61745) / 5
LCM(61730,61745) = 3811518850 / 5
LCM(61730,61745) = 762303770

Least Common Multiple (LCM) of 61730 and 61745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61730 and 61745. First we will calculate the prime factors of 61730 and 61745.

Prime Factorization of 61730

Prime Factorization of 61745

Now multiplying the highest exponent prime factors to calculate the LCM of 61730 and 61745.

LCM(61730,61745) = 2¹ × 5¹ × 6173¹ × 53¹ × 233¹
LCM(61730,61745) = 762303770