What is the Least Common Multiple of 45374 and 45378?

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 45374 and 45378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45374 and 45378, than apply into the LCM equation.

GCF(45374,45378) = 2
LCM(45374,45378) = ( 45374 × 45378) / 2
LCM(45374,45378) = 2058981372 / 2
LCM(45374,45378) = 1029490686

Least Common Multiple (LCM) of 45374 and 45378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45374 and 45378. First we will calculate the prime factors of 45374 and 45378.

Prime Factorization of 45374

Prime Factorization of 45378

Now multiplying the highest exponent prime factors to calculate the LCM of 45374 and 45378.

LCM(45374,45378) = 2¹ × 7² × 463¹ × 3² × 2521¹
LCM(45374,45378) = 1029490686