What is the Least Common Multiple of 47453 and 47464?

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 47453 and 47464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47453 and 47464, than apply into the LCM equation.

GCF(47453,47464) = 1
LCM(47453,47464) = ( 47453 × 47464) / 1
LCM(47453,47464) = 2252309192 / 1
LCM(47453,47464) = 2252309192

Least Common Multiple (LCM) of 47453 and 47464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47453 and 47464. First we will calculate the prime factors of 47453 and 47464.

Prime Factorization of 47453

Prime Factorization of 47464

Now multiplying the highest exponent prime factors to calculate the LCM of 47453 and 47464.

LCM(47453,47464) = 7¹ × 6779¹ × 2³ × 17¹ × 349¹
LCM(47453,47464) = 2252309192