What is the Least Common Multiple of 60480 and 60496?

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 60496 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 60496, than apply into the LCM equation.

GCF(60480,60496) = 16
LCM(60480,60496) = ( 60480 × 60496) / 16
LCM(60480,60496) = 3658798080 / 16
LCM(60480,60496) = 228674880

Least Common Multiple (LCM) of 60480 and 60496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60480 and 60496. First we will calculate the prime factors of 60480 and 60496.

Prime Factorization of 60480

Prime Factorization of 60496

Now multiplying the highest exponent prime factors to calculate the LCM of 60480 and 60496.

LCM(60480,60496) = 2⁶ × 3³ × 5¹ × 7¹ × 19¹ × 199¹
LCM(60480,60496) = 228674880