What is the Least Common Multiple of 61514 and 61530?

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 61514 and 61530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61514 and 61530, than apply into the LCM equation.

GCF(61514,61530) = 2
LCM(61514,61530) = ( 61514 × 61530) / 2
LCM(61514,61530) = 3784956420 / 2
LCM(61514,61530) = 1892478210

Least Common Multiple (LCM) of 61514 and 61530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61514 and 61530. First we will calculate the prime factors of 61514 and 61530.

Prime Factorization of 61514

Prime Factorization of 61530

Now multiplying the highest exponent prime factors to calculate the LCM of 61514 and 61530.

LCM(61514,61530) = 2¹ × 30757¹ × 3¹ × 5¹ × 7¹ × 293¹
LCM(61514,61530) = 1892478210