What is the Least Common Multiple of 5072 and 5085?

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 5085 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 5085, than apply into the LCM equation.

GCF(5072,5085) = 1
LCM(5072,5085) = ( 5072 × 5085) / 1
LCM(5072,5085) = 25791120 / 1
LCM(5072,5085) = 25791120

Least Common Multiple (LCM) of 5072 and 5085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5072 and 5085. First we will calculate the prime factors of 5072 and 5085.

Prime Factorization of 5072

Prime Factorization of 5085

Now multiplying the highest exponent prime factors to calculate the LCM of 5072 and 5085.

LCM(5072,5085) = 2⁴ × 317¹ × 3² × 5¹ × 113¹
LCM(5072,5085) = 25791120