What is the Least Common Multiple of 45314 and 45330?

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 45314 and 45330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45314 and 45330, than apply into the LCM equation.

GCF(45314,45330) = 2
LCM(45314,45330) = ( 45314 × 45330) / 2
LCM(45314,45330) = 2054083620 / 2
LCM(45314,45330) = 1027041810

Least Common Multiple (LCM) of 45314 and 45330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45314 and 45330. First we will calculate the prime factors of 45314 and 45330.

Prime Factorization of 45314

Prime Factorization of 45330

Now multiplying the highest exponent prime factors to calculate the LCM of 45314 and 45330.

LCM(45314,45330) = 2¹ × 139¹ × 163¹ × 3¹ × 5¹ × 1511¹
LCM(45314,45330) = 1027041810