What is the Least Common Multiple of 71052 and 71072?

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 71052 and 71072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71052 and 71072, than apply into the LCM equation.

GCF(71052,71072) = 4
LCM(71052,71072) = ( 71052 × 71072) / 4
LCM(71052,71072) = 5049807744 / 4
LCM(71052,71072) = 1262451936

Least Common Multiple (LCM) of 71052 and 71072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71052 and 71072. First we will calculate the prime factors of 71052 and 71072.

Prime Factorization of 71052

Prime Factorization of 71072

Now multiplying the highest exponent prime factors to calculate the LCM of 71052 and 71072.

LCM(71052,71072) = 2⁵ × 3¹ × 31¹ × 191¹ × 2221¹
LCM(71052,71072) = 1262451936