What is the Least Common Multiple of 4919 and 4936?

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 4919 and 4936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4919 and 4936, than apply into the LCM equation.

GCF(4919,4936) = 1
LCM(4919,4936) = ( 4919 × 4936) / 1
LCM(4919,4936) = 24280184 / 1
LCM(4919,4936) = 24280184

Least Common Multiple (LCM) of 4919 and 4936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4919 and 4936. First we will calculate the prime factors of 4919 and 4936.

Prime Factorization of 4919

Prime Factorization of 4936

Now multiplying the highest exponent prime factors to calculate the LCM of 4919 and 4936.

LCM(4919,4936) = 4919¹ × 2³ × 617¹
LCM(4919,4936) = 24280184