What is the Least Common Multiple of 5072 and 5091?

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 5072 and 5091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5072 and 5091, than apply into the LCM equation.

GCF(5072,5091) = 1
LCM(5072,5091) = ( 5072 × 5091) / 1
LCM(5072,5091) = 25821552 / 1
LCM(5072,5091) = 25821552

Least Common Multiple (LCM) of 5072 and 5091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5072 and 5091. First we will calculate the prime factors of 5072 and 5091.

Prime Factorization of 5072

Prime Factorization of 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 5072 and 5091.

LCM(5072,5091) = 2⁴ × 317¹ × 3¹ × 1697¹
LCM(5072,5091) = 25821552