What is the Least Common Multiple of 91519 and 91524?

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 91519 and 91524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91519 and 91524, than apply into the LCM equation.

GCF(91519,91524) = 1
LCM(91519,91524) = ( 91519 × 91524) / 1
LCM(91519,91524) = 8376184956 / 1
LCM(91519,91524) = 8376184956

Least Common Multiple (LCM) of 91519 and 91524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91519 and 91524. First we will calculate the prime factors of 91519 and 91524.

Prime Factorization of 91519

Prime Factorization of 91524

Now multiplying the highest exponent prime factors to calculate the LCM of 91519 and 91524.

LCM(91519,91524) = 71¹ × 1289¹ × 2² × 3¹ × 29¹ × 263¹
LCM(91519,91524) = 8376184956