What is the Least Common Multiple of 52892 and 52906?

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 52892 and 52906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52892 and 52906, than apply into the LCM equation.

GCF(52892,52906) = 14
LCM(52892,52906) = ( 52892 × 52906) / 14
LCM(52892,52906) = 2798304152 / 14
LCM(52892,52906) = 199878868

Least Common Multiple (LCM) of 52892 and 52906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52892 and 52906. First we will calculate the prime factors of 52892 and 52906.

Prime Factorization of 52892

Prime Factorization of 52906

Now multiplying the highest exponent prime factors to calculate the LCM of 52892 and 52906.

LCM(52892,52906) = 2² × 7¹ × 1889¹ × 3779¹
LCM(52892,52906) = 199878868