What is the Least Common Multiple of 91540 and 91552?

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 91540 and 91552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91540 and 91552, than apply into the LCM equation.

GCF(91540,91552) = 4
LCM(91540,91552) = ( 91540 × 91552) / 4
LCM(91540,91552) = 8380670080 / 4
LCM(91540,91552) = 2095167520

Least Common Multiple (LCM) of 91540 and 91552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91540 and 91552. First we will calculate the prime factors of 91540 and 91552.

Prime Factorization of 91540

Prime Factorization of 91552

Now multiplying the highest exponent prime factors to calculate the LCM of 91540 and 91552.

LCM(91540,91552) = 2⁵ × 5¹ × 23¹ × 199¹ × 2861¹
LCM(91540,91552) = 2095167520