What is the Least Common Multiple of 71140 and 71152?

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 71140 and 71152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71140 and 71152, than apply into the LCM equation.

GCF(71140,71152) = 4
LCM(71140,71152) = ( 71140 × 71152) / 4
LCM(71140,71152) = 5061753280 / 4
LCM(71140,71152) = 1265438320

Least Common Multiple (LCM) of 71140 and 71152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71140 and 71152. First we will calculate the prime factors of 71140 and 71152.

Prime Factorization of 71140

Prime Factorization of 71152

Now multiplying the highest exponent prime factors to calculate the LCM of 71140 and 71152.

LCM(71140,71152) = 2⁴ × 5¹ × 3557¹ × 4447¹
LCM(71140,71152) = 1265438320