What is the Least Common Multiple of 91504 and 91523?

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 91504 and 91523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91504 and 91523, than apply into the LCM equation.

GCF(91504,91523) = 19
LCM(91504,91523) = ( 91504 × 91523) / 19
LCM(91504,91523) = 8374720592 / 19
LCM(91504,91523) = 440774768

Least Common Multiple (LCM) of 91504 and 91523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91504 and 91523. First we will calculate the prime factors of 91504 and 91523.

Prime Factorization of 91504

Prime Factorization of 91523

Now multiplying the highest exponent prime factors to calculate the LCM of 91504 and 91523.

LCM(91504,91523) = 2⁴ × 7¹ × 19¹ × 43¹ × 4817¹
LCM(91504,91523) = 440774768