What is the Least Common Multiple of 30480 and 30495?

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 30495 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 30495, than apply into the LCM equation.

GCF(30480,30495) = 15
LCM(30480,30495) = ( 30480 × 30495) / 15
LCM(30480,30495) = 929487600 / 15
LCM(30480,30495) = 61965840

Least Common Multiple (LCM) of 30480 and 30495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30480 and 30495. First we will calculate the prime factors of 30480 and 30495.

Prime Factorization of 30480

Prime Factorization of 30495

Now multiplying the highest exponent prime factors to calculate the LCM of 30480 and 30495.

LCM(30480,30495) = 2⁴ × 3¹ × 5¹ × 127¹ × 19¹ × 107¹
LCM(30480,30495) = 61965840