What is the Least Common Multiple of 52924 and 52936?

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 52924 and 52936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52924 and 52936, than apply into the LCM equation.

GCF(52924,52936) = 4
LCM(52924,52936) = ( 52924 × 52936) / 4
LCM(52924,52936) = 2801584864 / 4
LCM(52924,52936) = 700396216

Least Common Multiple (LCM) of 52924 and 52936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52924 and 52936. First we will calculate the prime factors of 52924 and 52936.

Prime Factorization of 52924

Prime Factorization of 52936

Now multiplying the highest exponent prime factors to calculate the LCM of 52924 and 52936.

LCM(52924,52936) = 2³ × 101¹ × 131¹ × 13¹ × 509¹
LCM(52924,52936) = 700396216