What is the Least Common Multiple of 52308 and 52314?

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 52308 and 52314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52308 and 52314, than apply into the LCM equation.

GCF(52308,52314) = 6
LCM(52308,52314) = ( 52308 × 52314) / 6
LCM(52308,52314) = 2736440712 / 6
LCM(52308,52314) = 456073452

Least Common Multiple (LCM) of 52308 and 52314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52308 and 52314. First we will calculate the prime factors of 52308 and 52314.

Prime Factorization of 52308

Prime Factorization of 52314

Now multiplying the highest exponent prime factors to calculate the LCM of 52308 and 52314.

LCM(52308,52314) = 2² × 3² × 1453¹ × 8719¹
LCM(52308,52314) = 456073452