What is the Least Common Multiple of 47514 and 47533?

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 47514 and 47533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47514 and 47533, than apply into the LCM equation.

GCF(47514,47533) = 1
LCM(47514,47533) = ( 47514 × 47533) / 1
LCM(47514,47533) = 2258482962 / 1
LCM(47514,47533) = 2258482962

Least Common Multiple (LCM) of 47514 and 47533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47514 and 47533. First we will calculate the prime factors of 47514 and 47533.

Prime Factorization of 47514

Prime Factorization of 47533

Now multiplying the highest exponent prime factors to calculate the LCM of 47514 and 47533.

LCM(47514,47533) = 2¹ × 3¹ × 7919¹ × 47533¹
LCM(47514,47533) = 2258482962