What is the Least Common Multiple of 61725 and 61730?

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 61725 and 61730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61725 and 61730, than apply into the LCM equation.

GCF(61725,61730) = 5
LCM(61725,61730) = ( 61725 × 61730) / 5
LCM(61725,61730) = 3810284250 / 5
LCM(61725,61730) = 762056850

Least Common Multiple (LCM) of 61725 and 61730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61725 and 61730. First we will calculate the prime factors of 61725 and 61730.

Prime Factorization of 61725

Prime Factorization of 61730

Now multiplying the highest exponent prime factors to calculate the LCM of 61725 and 61730.

LCM(61725,61730) = 3¹ × 5² × 823¹ × 2¹ × 6173¹
LCM(61725,61730) = 762056850