What is the Least Common Multiple of 53274 and 53287?

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 53274 and 53287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53274 and 53287, than apply into the LCM equation.

GCF(53274,53287) = 13
LCM(53274,53287) = ( 53274 × 53287) / 13
LCM(53274,53287) = 2838811638 / 13
LCM(53274,53287) = 218370126

Least Common Multiple (LCM) of 53274 and 53287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53274 and 53287. First we will calculate the prime factors of 53274 and 53287.

Prime Factorization of 53274

Prime Factorization of 53287

Now multiplying the highest exponent prime factors to calculate the LCM of 53274 and 53287.

LCM(53274,53287) = 2¹ × 3¹ × 13¹ × 683¹ × 4099¹
LCM(53274,53287) = 218370126