What is the Least Common Multiple of 89040 and 89052?

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 89052 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 89052, than apply into the LCM equation.

GCF(89040,89052) = 12
LCM(89040,89052) = ( 89040 × 89052) / 12
LCM(89040,89052) = 7929190080 / 12
LCM(89040,89052) = 660765840

Least Common Multiple (LCM) of 89040 and 89052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89040 and 89052. First we will calculate the prime factors of 89040 and 89052.

Prime Factorization of 89040

Prime Factorization of 89052

Now multiplying the highest exponent prime factors to calculate the LCM of 89040 and 89052.

LCM(89040,89052) = 2⁴ × 3¹ × 5¹ × 7¹ × 53¹ × 41¹ × 181¹
LCM(89040,89052) = 660765840