What is the Least Common Multiple of 47629 and 47647?

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 47629 and 47647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47629 and 47647, than apply into the LCM equation.

GCF(47629,47647) = 1
LCM(47629,47647) = ( 47629 × 47647) / 1
LCM(47629,47647) = 2269378963 / 1
LCM(47629,47647) = 2269378963

Least Common Multiple (LCM) of 47629 and 47647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47629 and 47647. First we will calculate the prime factors of 47629 and 47647.

Prime Factorization of 47629

Prime Factorization of 47647

Now multiplying the highest exponent prime factors to calculate the LCM of 47629 and 47647.

LCM(47629,47647) = 47629¹ × 29¹ × 31¹ × 53¹
LCM(47629,47647) = 2269378963