What is the Least Common Multiple of 71248 and 71256?

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 71248 and 71256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71248 and 71256, than apply into the LCM equation.

GCF(71248,71256) = 8
LCM(71248,71256) = ( 71248 × 71256) / 8
LCM(71248,71256) = 5076847488 / 8
LCM(71248,71256) = 634605936

Least Common Multiple (LCM) of 71248 and 71256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71248 and 71256. First we will calculate the prime factors of 71248 and 71256.

Prime Factorization of 71248

Prime Factorization of 71256

Now multiplying the highest exponent prime factors to calculate the LCM of 71248 and 71256.

LCM(71248,71256) = 2⁴ × 61¹ × 73¹ × 3¹ × 2969¹
LCM(71248,71256) = 634605936