What is the Least Common Multiple of 60480 and 60489?

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 60480 and 60489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60480 and 60489, than apply into the LCM equation.

GCF(60480,60489) = 9
LCM(60480,60489) = ( 60480 × 60489) / 9
LCM(60480,60489) = 3658374720 / 9
LCM(60480,60489) = 406486080

Least Common Multiple (LCM) of 60480 and 60489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60480 and 60489. First we will calculate the prime factors of 60480 and 60489.

Prime Factorization of 60480

Prime Factorization of 60489

Now multiplying the highest exponent prime factors to calculate the LCM of 60480 and 60489.

LCM(60480,60489) = 2⁶ × 3³ × 5¹ × 7¹ × 11¹ × 13¹ × 47¹
LCM(60480,60489) = 406486080