What is the Least Common Multiple of 47926 and 47936?

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 47926 and 47936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47926 and 47936, than apply into the LCM equation.

GCF(47926,47936) = 2
LCM(47926,47936) = ( 47926 × 47936) / 2
LCM(47926,47936) = 2297380736 / 2
LCM(47926,47936) = 1148690368

Least Common Multiple (LCM) of 47926 and 47936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47926 and 47936. First we will calculate the prime factors of 47926 and 47936.

Prime Factorization of 47926

Prime Factorization of 47936

Now multiplying the highest exponent prime factors to calculate the LCM of 47926 and 47936.

LCM(47926,47936) = 2⁶ × 31¹ × 773¹ × 7¹ × 107¹
LCM(47926,47936) = 1148690368