GCF and LCM Calculator Logo

What is the Least Common Multiple of 91568 and 91575?

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 (LCM) of 91568 and 91575 is 8385339600.

LCM(91568,91575) = 8385339600

LCM Calculator and
and

Least Common Multiple of 91568 and 91575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91568 and 91575, than apply into the LCM equation.

GCF(91568,91575) = 1
LCM(91568,91575) = ( 91568 × 91575) / 1
LCM(91568,91575) = 8385339600 / 1
LCM(91568,91575) = 8385339600

Least Common Multiple (LCM) of 91568 and 91575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91568 and 91575. First we will calculate the prime factors of 91568 and 91575.

Prime Factorization of 91568

Prime factors of 91568 are 2, 59, 97. Prime factorization of 91568 in exponential form is:

91568 = 24 × 591 × 971

Prime Factorization of 91575

Prime factors of 91575 are 3, 5, 11, 37. Prime factorization of 91575 in exponential form is:

91575 = 32 × 52 × 111 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 91568 and 91575.

LCM(91568,91575) = 24 × 591 × 971 × 32 × 52 × 111 × 371
LCM(91568,91575) = 8385339600