What is the Least Common Multiple of 52238 and 52246?

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 52238 and 52246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52238 and 52246, than apply into the LCM equation.

GCF(52238,52246) = 2
LCM(52238,52246) = ( 52238 × 52246) / 2
LCM(52238,52246) = 2729226548 / 2
LCM(52238,52246) = 1364613274

Least Common Multiple (LCM) of 52238 and 52246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52238 and 52246. First we will calculate the prime factors of 52238 and 52246.

Prime Factorization of 52238

Prime Factorization of 52246

Now multiplying the highest exponent prime factors to calculate the LCM of 52238 and 52246.

LCM(52238,52246) = 2¹ × 26119¹ × 151¹ × 173¹
LCM(52238,52246) = 1364613274