What is the Least Common Multiple of 30480 and 30497?

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 30497 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 30497, than apply into the LCM equation.

GCF(30480,30497) = 1
LCM(30480,30497) = ( 30480 × 30497) / 1
LCM(30480,30497) = 929548560 / 1
LCM(30480,30497) = 929548560

Least Common Multiple (LCM) of 30480 and 30497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30480 and 30497. First we will calculate the prime factors of 30480 and 30497.

Prime Factorization of 30480

Prime Factorization of 30497

Now multiplying the highest exponent prime factors to calculate the LCM of 30480 and 30497.

LCM(30480,30497) = 2⁴ × 3¹ × 5¹ × 127¹ × 30497¹
LCM(30480,30497) = 929548560