What is the Least Common Multiple of 47462 and 47467?

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 47462 and 47467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47462 and 47467, than apply into the LCM equation.

GCF(47462,47467) = 1
LCM(47462,47467) = ( 47462 × 47467) / 1
LCM(47462,47467) = 2252878754 / 1
LCM(47462,47467) = 2252878754

Least Common Multiple (LCM) of 47462 and 47467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47462 and 47467. First we will calculate the prime factors of 47462 and 47467.

Prime Factorization of 47462

Prime Factorization of 47467

Now multiplying the highest exponent prime factors to calculate the LCM of 47462 and 47467.

LCM(47462,47467) = 2¹ × 19¹ × 1249¹ × 7¹ × 6781¹
LCM(47462,47467) = 2252878754