What is the Least Common Multiple of 30480 and 30499?

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 30480 and 30499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30480 and 30499, than apply into the LCM equation.

GCF(30480,30499) = 1
LCM(30480,30499) = ( 30480 × 30499) / 1
LCM(30480,30499) = 929609520 / 1
LCM(30480,30499) = 929609520

Least Common Multiple (LCM) of 30480 and 30499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30480 and 30499. First we will calculate the prime factors of 30480 and 30499.

Prime Factorization of 30480

Prime Factorization of 30499

Now multiplying the highest exponent prime factors to calculate the LCM of 30480 and 30499.

LCM(30480,30499) = 2⁴ × 3¹ × 5¹ × 127¹ × 7¹ × 4357¹
LCM(30480,30499) = 929609520