What is the Least Common Multiple of 48892 and 48906?

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 48892 and 48906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48892 and 48906, than apply into the LCM equation.

GCF(48892,48906) = 2
LCM(48892,48906) = ( 48892 × 48906) / 2
LCM(48892,48906) = 2391112152 / 2
LCM(48892,48906) = 1195556076

Least Common Multiple (LCM) of 48892 and 48906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48892 and 48906. First we will calculate the prime factors of 48892 and 48906.

Prime Factorization of 48892

Prime Factorization of 48906

Now multiplying the highest exponent prime factors to calculate the LCM of 48892 and 48906.

LCM(48892,48906) = 2² × 17¹ × 719¹ × 3² × 11¹ × 13¹ × 19¹
LCM(48892,48906) = 1195556076