What is the Least Common Multiple of 91320 and 91328?

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 91320 and 91328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91320 and 91328, than apply into the LCM equation.

GCF(91320,91328) = 8
LCM(91320,91328) = ( 91320 × 91328) / 8
LCM(91320,91328) = 8340072960 / 8
LCM(91320,91328) = 1042509120

Least Common Multiple (LCM) of 91320 and 91328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91320 and 91328. First we will calculate the prime factors of 91320 and 91328.

Prime Factorization of 91320

Prime Factorization of 91328

Now multiplying the highest exponent prime factors to calculate the LCM of 91320 and 91328.

LCM(91320,91328) = 2⁶ × 3¹ × 5¹ × 761¹ × 1427¹
LCM(91320,91328) = 1042509120