What is the Least Common Multiple of 53924 and 53944?

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 53924 and 53944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53924 and 53944, than apply into the LCM equation.

GCF(53924,53944) = 4
LCM(53924,53944) = ( 53924 × 53944) / 4
LCM(53924,53944) = 2908876256 / 4
LCM(53924,53944) = 727219064

Least Common Multiple (LCM) of 53924 and 53944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53924 and 53944. First we will calculate the prime factors of 53924 and 53944.

Prime Factorization of 53924

Prime Factorization of 53944

Now multiplying the highest exponent prime factors to calculate the LCM of 53924 and 53944.

LCM(53924,53944) = 2³ × 13¹ × 17¹ × 61¹ × 11¹ × 613¹
LCM(53924,53944) = 727219064