What is the Least Common Multiple of 43438 and 43455?

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 43438 and 43455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43438 and 43455, than apply into the LCM equation.

GCF(43438,43455) = 1
LCM(43438,43455) = ( 43438 × 43455) / 1
LCM(43438,43455) = 1887598290 / 1
LCM(43438,43455) = 1887598290

Least Common Multiple (LCM) of 43438 and 43455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43438 and 43455. First we will calculate the prime factors of 43438 and 43455.

Prime Factorization of 43438

Prime Factorization of 43455

Now multiplying the highest exponent prime factors to calculate the LCM of 43438 and 43455.

LCM(43438,43455) = 2¹ × 37¹ × 587¹ × 3¹ × 5¹ × 2897¹
LCM(43438,43455) = 1887598290