What is the Least Common Multiple of 52936 and 52949?

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 52936 and 52949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52936 and 52949, than apply into the LCM equation.

GCF(52936,52949) = 13
LCM(52936,52949) = ( 52936 × 52949) / 13
LCM(52936,52949) = 2802908264 / 13
LCM(52936,52949) = 215608328

Least Common Multiple (LCM) of 52936 and 52949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52936 and 52949. First we will calculate the prime factors of 52936 and 52949.

Prime Factorization of 52936

Prime Factorization of 52949

Now multiplying the highest exponent prime factors to calculate the LCM of 52936 and 52949.

LCM(52936,52949) = 2³ × 13¹ × 509¹ × 4073¹
LCM(52936,52949) = 215608328