What is the Least Common Multiple of 91040 and 91052?

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 91040 and 91052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91040 and 91052, than apply into the LCM equation.

GCF(91040,91052) = 4
LCM(91040,91052) = ( 91040 × 91052) / 4
LCM(91040,91052) = 8289374080 / 4
LCM(91040,91052) = 2072343520

Least Common Multiple (LCM) of 91040 and 91052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91040 and 91052. First we will calculate the prime factors of 91040 and 91052.

Prime Factorization of 91040

Prime Factorization of 91052

Now multiplying the highest exponent prime factors to calculate the LCM of 91040 and 91052.

LCM(91040,91052) = 2⁵ × 5¹ × 569¹ × 13¹ × 17¹ × 103¹
LCM(91040,91052) = 2072343520