What is the Least Common Multiple of 71870 and 71888?

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 71870 and 71888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71870 and 71888, than apply into the LCM equation.

GCF(71870,71888) = 2
LCM(71870,71888) = ( 71870 × 71888) / 2
LCM(71870,71888) = 5166590560 / 2
LCM(71870,71888) = 2583295280

Least Common Multiple (LCM) of 71870 and 71888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71870 and 71888. First we will calculate the prime factors of 71870 and 71888.

Prime Factorization of 71870

Prime Factorization of 71888

Now multiplying the highest exponent prime factors to calculate the LCM of 71870 and 71888.

LCM(71870,71888) = 2⁴ × 5¹ × 7187¹ × 4493¹
LCM(71870,71888) = 2583295280