What is the Least Common Multiple of 89040 and 89046?

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 89040 and 89046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89040 and 89046, than apply into the LCM equation.

GCF(89040,89046) = 6
LCM(89040,89046) = ( 89040 × 89046) / 6
LCM(89040,89046) = 7928655840 / 6
LCM(89040,89046) = 1321442640

Least Common Multiple (LCM) of 89040 and 89046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89040 and 89046. First we will calculate the prime factors of 89040 and 89046.

Prime Factorization of 89040

Prime Factorization of 89046

Now multiplying the highest exponent prime factors to calculate the LCM of 89040 and 89046.

LCM(89040,89046) = 2⁴ × 3³ × 5¹ × 7¹ × 53¹ × 17¹ × 97¹
LCM(89040,89046) = 1321442640