What is the Least Common Multiple of 80348 and 80352?

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 80348 and 80352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80348 and 80352, than apply into the LCM equation.

GCF(80348,80352) = 4
LCM(80348,80352) = ( 80348 × 80352) / 4
LCM(80348,80352) = 6456122496 / 4
LCM(80348,80352) = 1614030624

Least Common Multiple (LCM) of 80348 and 80352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80348 and 80352. First we will calculate the prime factors of 80348 and 80352.

Prime Factorization of 80348

Prime Factorization of 80352

Now multiplying the highest exponent prime factors to calculate the LCM of 80348 and 80352.

LCM(80348,80352) = 2⁵ × 53¹ × 379¹ × 3⁴ × 31¹
LCM(80348,80352) = 1614030624