What is the Least Common Multiple of 71072 and 71077?

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 71072 and 71077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71072 and 71077, than apply into the LCM equation.

GCF(71072,71077) = 1
LCM(71072,71077) = ( 71072 × 71077) / 1
LCM(71072,71077) = 5051584544 / 1
LCM(71072,71077) = 5051584544

Least Common Multiple (LCM) of 71072 and 71077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71072 and 71077. First we will calculate the prime factors of 71072 and 71077.

Prime Factorization of 71072

Prime Factorization of 71077

Now multiplying the highest exponent prime factors to calculate the LCM of 71072 and 71077.

LCM(71072,71077) = 2⁵ × 2221¹ × 17¹ × 37¹ × 113¹
LCM(71072,71077) = 5051584544