What is the Least Common Multiple of 53949 and 53956?

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 53949 and 53956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53949 and 53956, than apply into the LCM equation.

GCF(53949,53956) = 7
LCM(53949,53956) = ( 53949 × 53956) / 7
LCM(53949,53956) = 2910872244 / 7
LCM(53949,53956) = 415838892

Least Common Multiple (LCM) of 53949 and 53956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53949 and 53956. First we will calculate the prime factors of 53949 and 53956.

Prime Factorization of 53949

Prime Factorization of 53956

Now multiplying the highest exponent prime factors to calculate the LCM of 53949 and 53956.

LCM(53949,53956) = 3¹ × 7² × 367¹ × 2² × 41¹ × 47¹
LCM(53949,53956) = 415838892