What is the Least Common Multiple of 45296 and 45315?

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 45296 and 45315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45296 and 45315, than apply into the LCM equation.

GCF(45296,45315) = 19
LCM(45296,45315) = ( 45296 × 45315) / 19
LCM(45296,45315) = 2052588240 / 19
LCM(45296,45315) = 108030960

Least Common Multiple (LCM) of 45296 and 45315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45296 and 45315. First we will calculate the prime factors of 45296 and 45315.

Prime Factorization of 45296

Prime Factorization of 45315

Now multiplying the highest exponent prime factors to calculate the LCM of 45296 and 45315.

LCM(45296,45315) = 2⁴ × 19¹ × 149¹ × 3² × 5¹ × 53¹
LCM(45296,45315) = 108030960