What is the Least Common Multiple of 32419 and 32432?

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 32419 and 32432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32419 and 32432, than apply into the LCM equation.

GCF(32419,32432) = 1
LCM(32419,32432) = ( 32419 × 32432) / 1
LCM(32419,32432) = 1051413008 / 1
LCM(32419,32432) = 1051413008

Least Common Multiple (LCM) of 32419 and 32432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32419 and 32432. First we will calculate the prime factors of 32419 and 32432.

Prime Factorization of 32419

Prime Factorization of 32432

Now multiplying the highest exponent prime factors to calculate the LCM of 32419 and 32432.

LCM(32419,32432) = 17¹ × 1907¹ × 2⁴ × 2027¹
LCM(32419,32432) = 1051413008