What is the Least Common Multiple of 5072 and 5077?

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 5077 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 5077, than apply into the LCM equation.

GCF(5072,5077) = 1
LCM(5072,5077) = ( 5072 × 5077) / 1
LCM(5072,5077) = 25750544 / 1
LCM(5072,5077) = 25750544

Least Common Multiple (LCM) of 5072 and 5077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5072 and 5077. First we will calculate the prime factors of 5072 and 5077.

Prime Factorization of 5072

Prime Factorization of 5077

Now multiplying the highest exponent prime factors to calculate the LCM of 5072 and 5077.

LCM(5072,5077) = 2⁴ × 317¹ × 5077¹
LCM(5072,5077) = 25750544