What is the Least Common Multiple of 65478 and 65489?

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 65478 and 65489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65478 and 65489, than apply into the LCM equation.

GCF(65478,65489) = 1
LCM(65478,65489) = ( 65478 × 65489) / 1
LCM(65478,65489) = 4288088742 / 1
LCM(65478,65489) = 4288088742

Least Common Multiple (LCM) of 65478 and 65489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65478 and 65489. First we will calculate the prime factors of 65478 and 65489.

Prime Factorization of 65478

Prime Factorization of 65489

Now multiplying the highest exponent prime factors to calculate the LCM of 65478 and 65489.

LCM(65478,65489) = 2¹ × 3¹ × 7¹ × 1559¹ × 43¹ × 1523¹
LCM(65478,65489) = 4288088742