What is the Least Common Multiple of 43415 and 43435?

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 43415 and 43435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43415 and 43435, than apply into the LCM equation.

GCF(43415,43435) = 5
LCM(43415,43435) = ( 43415 × 43435) / 5
LCM(43415,43435) = 1885730525 / 5
LCM(43415,43435) = 377146105

Least Common Multiple (LCM) of 43415 and 43435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43415 and 43435. First we will calculate the prime factors of 43415 and 43435.

Prime Factorization of 43415

Prime Factorization of 43435

Now multiplying the highest exponent prime factors to calculate the LCM of 43415 and 43435.

LCM(43415,43435) = 5¹ × 19¹ × 457¹ × 7¹ × 17¹ × 73¹
LCM(43415,43435) = 377146105