What is the Least Common Multiple of 8452 and 8456?

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 8452 and 8456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8452 and 8456, than apply into the LCM equation.

GCF(8452,8456) = 4
LCM(8452,8456) = ( 8452 × 8456) / 4
LCM(8452,8456) = 71470112 / 4
LCM(8452,8456) = 17867528

Least Common Multiple (LCM) of 8452 and 8456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8452 and 8456. First we will calculate the prime factors of 8452 and 8456.

Prime Factorization of 8452

Prime Factorization of 8456

Now multiplying the highest exponent prime factors to calculate the LCM of 8452 and 8456.

LCM(8452,8456) = 2³ × 2113¹ × 7¹ × 151¹
LCM(8452,8456) = 17867528