What is the Least Common Multiple of 30080 and 30097?

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 30080 and 30097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30080 and 30097, than apply into the LCM equation.

GCF(30080,30097) = 1
LCM(30080,30097) = ( 30080 × 30097) / 1
LCM(30080,30097) = 905317760 / 1
LCM(30080,30097) = 905317760

Least Common Multiple (LCM) of 30080 and 30097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30080 and 30097. First we will calculate the prime factors of 30080 and 30097.

Prime Factorization of 30080

Prime Factorization of 30097

Now multiplying the highest exponent prime factors to calculate the LCM of 30080 and 30097.

LCM(30080,30097) = 2⁷ × 5¹ × 47¹ × 30097¹
LCM(30080,30097) = 905317760