What is the Least Common Multiple of 42432 and 42446?

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 42432 and 42446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42432 and 42446, than apply into the LCM equation.

GCF(42432,42446) = 2
LCM(42432,42446) = ( 42432 × 42446) / 2
LCM(42432,42446) = 1801068672 / 2
LCM(42432,42446) = 900534336

Least Common Multiple (LCM) of 42432 and 42446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42432 and 42446. First we will calculate the prime factors of 42432 and 42446.

Prime Factorization of 42432

Prime Factorization of 42446

Now multiplying the highest exponent prime factors to calculate the LCM of 42432 and 42446.

LCM(42432,42446) = 2⁶ × 3¹ × 13¹ × 17¹ × 19¹ × 1117¹
LCM(42432,42446) = 900534336