What is the Least Common Multiple of 91812 and 91827?

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 91812 and 91827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91812 and 91827, than apply into the LCM equation.

GCF(91812,91827) = 3
LCM(91812,91827) = ( 91812 × 91827) / 3
LCM(91812,91827) = 8430820524 / 3
LCM(91812,91827) = 2810273508

Least Common Multiple (LCM) of 91812 and 91827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91812 and 91827. First we will calculate the prime factors of 91812 and 91827.

Prime Factorization of 91812

Prime Factorization of 91827

Now multiplying the highest exponent prime factors to calculate the LCM of 91812 and 91827.

LCM(91812,91827) = 2² × 3³ × 7¹ × 1093¹ × 19¹ × 179¹
LCM(91812,91827) = 2810273508