What is the Least Common Multiple of 45302 and 45310?

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 45302 and 45310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45302 and 45310, than apply into the LCM equation.

GCF(45302,45310) = 2
LCM(45302,45310) = ( 45302 × 45310) / 2
LCM(45302,45310) = 2052633620 / 2
LCM(45302,45310) = 1026316810

Least Common Multiple (LCM) of 45302 and 45310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45302 and 45310. First we will calculate the prime factors of 45302 and 45310.

Prime Factorization of 45302

Prime Factorization of 45310

Now multiplying the highest exponent prime factors to calculate the LCM of 45302 and 45310.

LCM(45302,45310) = 2¹ × 22651¹ × 5¹ × 23¹ × 197¹
LCM(45302,45310) = 1026316810