What is the Least Common Multiple of 47649 and 47654?

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 47649 and 47654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47649 and 47654, than apply into the LCM equation.

GCF(47649,47654) = 1
LCM(47649,47654) = ( 47649 × 47654) / 1
LCM(47649,47654) = 2270665446 / 1
LCM(47649,47654) = 2270665446

Least Common Multiple (LCM) of 47649 and 47654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47649 and 47654. First we will calculate the prime factors of 47649 and 47654.

Prime Factorization of 47649

Prime Factorization of 47654

Now multiplying the highest exponent prime factors to calculate the LCM of 47649 and 47654.

LCM(47649,47654) = 3¹ × 7¹ × 2269¹ × 2¹ × 23827¹
LCM(47649,47654) = 2270665446