What is the Least Common Multiple of 45379 and 45390?

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 45379 and 45390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45379 and 45390, than apply into the LCM equation.

GCF(45379,45390) = 1
LCM(45379,45390) = ( 45379 × 45390) / 1
LCM(45379,45390) = 2059752810 / 1
LCM(45379,45390) = 2059752810

Least Common Multiple (LCM) of 45379 and 45390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45379 and 45390. First we will calculate the prime factors of 45379 and 45390.

Prime Factorization of 45379

Prime Factorization of 45390

Now multiplying the highest exponent prime factors to calculate the LCM of 45379 and 45390.

LCM(45379,45390) = 23¹ × 1973¹ × 2¹ × 3¹ × 5¹ × 17¹ × 89¹
LCM(45379,45390) = 2059752810