What is the Least Common Multiple of 10870 and 10888?

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 10870 and 10888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10870 and 10888, than apply into the LCM equation.

GCF(10870,10888) = 2
LCM(10870,10888) = ( 10870 × 10888) / 2
LCM(10870,10888) = 118352560 / 2
LCM(10870,10888) = 59176280

Least Common Multiple (LCM) of 10870 and 10888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10870 and 10888. First we will calculate the prime factors of 10870 and 10888.

Prime Factorization of 10870

Prime Factorization of 10888

Now multiplying the highest exponent prime factors to calculate the LCM of 10870 and 10888.

LCM(10870,10888) = 2³ × 5¹ × 1087¹ × 1361¹
LCM(10870,10888) = 59176280