What is the Least Common Multiple of 91428 and 91447?

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 91428 and 91447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91428 and 91447, than apply into the LCM equation.

GCF(91428,91447) = 19
LCM(91428,91447) = ( 91428 × 91447) / 19
LCM(91428,91447) = 8360816316 / 19
LCM(91428,91447) = 440042964

Least Common Multiple (LCM) of 91428 and 91447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91428 and 91447. First we will calculate the prime factors of 91428 and 91447.

Prime Factorization of 91428

Prime Factorization of 91447

Now multiplying the highest exponent prime factors to calculate the LCM of 91428 and 91447.

LCM(91428,91447) = 2² × 3¹ × 19¹ × 401¹ × 4813¹
LCM(91428,91447) = 440042964