What is the Least Common Multiple of 91552 and 91567?

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 91552 and 91567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91552 and 91567, than apply into the LCM equation.

GCF(91552,91567) = 1
LCM(91552,91567) = ( 91552 × 91567) / 1
LCM(91552,91567) = 8383141984 / 1
LCM(91552,91567) = 8383141984

Least Common Multiple (LCM) of 91552 and 91567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91552 and 91567. First we will calculate the prime factors of 91552 and 91567.

Prime Factorization of 91552

Prime Factorization of 91567

Now multiplying the highest exponent prime factors to calculate the LCM of 91552 and 91567.

LCM(91552,91567) = 2⁵ × 2861¹ × 7¹ × 103¹ × 127¹
LCM(91552,91567) = 8383141984