What is the Least Common Multiple of 61500 and 61514?

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 61500 and 61514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61500 and 61514, than apply into the LCM equation.

GCF(61500,61514) = 2
LCM(61500,61514) = ( 61500 × 61514) / 2
LCM(61500,61514) = 3783111000 / 2
LCM(61500,61514) = 1891555500

Least Common Multiple (LCM) of 61500 and 61514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61500 and 61514. First we will calculate the prime factors of 61500 and 61514.

Prime Factorization of 61500

Prime Factorization of 61514

Now multiplying the highest exponent prime factors to calculate the LCM of 61500 and 61514.

LCM(61500,61514) = 2² × 3¹ × 5³ × 41¹ × 30757¹
LCM(61500,61514) = 1891555500