What is the Least Common Multiple of 50892 and 50904?

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 50892 and 50904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50892 and 50904, than apply into the LCM equation.

GCF(50892,50904) = 12
LCM(50892,50904) = ( 50892 × 50904) / 12
LCM(50892,50904) = 2590606368 / 12
LCM(50892,50904) = 215883864

Least Common Multiple (LCM) of 50892 and 50904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50892 and 50904. First we will calculate the prime factors of 50892 and 50904.

Prime Factorization of 50892

Prime Factorization of 50904

Now multiplying the highest exponent prime factors to calculate the LCM of 50892 and 50904.

LCM(50892,50904) = 2³ × 3² × 4241¹ × 7¹ × 101¹
LCM(50892,50904) = 215883864