What is the Least Common Multiple of 89514 and 89530?

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 89514 and 89530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89514 and 89530, than apply into the LCM equation.

GCF(89514,89530) = 2
LCM(89514,89530) = ( 89514 × 89530) / 2
LCM(89514,89530) = 8014188420 / 2
LCM(89514,89530) = 4007094210

Least Common Multiple (LCM) of 89514 and 89530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89514 and 89530. First we will calculate the prime factors of 89514 and 89530.

Prime Factorization of 89514

Prime Factorization of 89530

Now multiplying the highest exponent prime factors to calculate the LCM of 89514 and 89530.

LCM(89514,89530) = 2¹ × 3² × 4973¹ × 5¹ × 7¹ × 1279¹
LCM(89514,89530) = 4007094210