What is the Least Common Multiple of 45408 and 45426?

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 45408 and 45426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45408 and 45426, than apply into the LCM equation.

GCF(45408,45426) = 6
LCM(45408,45426) = ( 45408 × 45426) / 6
LCM(45408,45426) = 2062703808 / 6
LCM(45408,45426) = 343783968

Least Common Multiple (LCM) of 45408 and 45426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45408 and 45426. First we will calculate the prime factors of 45408 and 45426.

Prime Factorization of 45408

Prime Factorization of 45426

Now multiplying the highest exponent prime factors to calculate the LCM of 45408 and 45426.

LCM(45408,45426) = 2⁵ × 3¹ × 11¹ × 43¹ × 67¹ × 113¹
LCM(45408,45426) = 343783968