What is the Least Common Multiple of 71072 and 71084?

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 71084 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 71084, than apply into the LCM equation.

GCF(71072,71084) = 4
LCM(71072,71084) = ( 71072 × 71084) / 4
LCM(71072,71084) = 5052082048 / 4
LCM(71072,71084) = 1263020512

Least Common Multiple (LCM) of 71072 and 71084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71072 and 71084. First we will calculate the prime factors of 71072 and 71084.

Prime Factorization of 71072

Prime Factorization of 71084

Now multiplying the highest exponent prime factors to calculate the LCM of 71072 and 71084.

LCM(71072,71084) = 2⁵ × 2221¹ × 13¹ × 1367¹
LCM(71072,71084) = 1263020512