GCF and LCM Calculator Logo

What is the Least Common Multiple of 91518 and 91525?

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 91518 and 91525 is 1196597850.

LCM(91518,91525) = 1196597850

LCM Calculator and
and

Least Common Multiple of 91518 and 91525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91518 and 91525, than apply into the LCM equation.

GCF(91518,91525) = 7
LCM(91518,91525) = ( 91518 × 91525) / 7
LCM(91518,91525) = 8376184950 / 7
LCM(91518,91525) = 1196597850

Least Common Multiple (LCM) of 91518 and 91525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91518 and 91525. First we will calculate the prime factors of 91518 and 91525.

Prime Factorization of 91518

Prime factors of 91518 are 2, 3, 7, 2179. Prime factorization of 91518 in exponential form is:

91518 = 21 × 31 × 71 × 21791

Prime Factorization of 91525

Prime factors of 91525 are 5, 7, 523. Prime factorization of 91525 in exponential form is:

91525 = 52 × 71 × 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 91518 and 91525.

LCM(91518,91525) = 21 × 31 × 71 × 21791 × 52 × 5231
LCM(91518,91525) = 1196597850