What is the Least Common Multiple of 52948 and 52967?

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 52948 and 52967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52948 and 52967, than apply into the LCM equation.

GCF(52948,52967) = 1
LCM(52948,52967) = ( 52948 × 52967) / 1
LCM(52948,52967) = 2804496716 / 1
LCM(52948,52967) = 2804496716

Least Common Multiple (LCM) of 52948 and 52967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52948 and 52967. First we will calculate the prime factors of 52948 and 52967.

Prime Factorization of 52948

Prime Factorization of 52967

Now multiplying the highest exponent prime factors to calculate the LCM of 52948 and 52967.

LCM(52948,52967) = 2² × 7¹ × 31¹ × 61¹ × 52967¹
LCM(52948,52967) = 2804496716