What is the Least Common Multiple of 43432 and 43451?

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 43432 and 43451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43432 and 43451, than apply into the LCM equation.

GCF(43432,43451) = 1
LCM(43432,43451) = ( 43432 × 43451) / 1
LCM(43432,43451) = 1887163832 / 1
LCM(43432,43451) = 1887163832

Least Common Multiple (LCM) of 43432 and 43451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43432 and 43451. First we will calculate the prime factors of 43432 and 43451.

Prime Factorization of 43432

Prime Factorization of 43451

Now multiplying the highest exponent prime factors to calculate the LCM of 43432 and 43451.

LCM(43432,43451) = 2³ × 61¹ × 89¹ × 43451¹
LCM(43432,43451) = 1887163832