What is the Least Common Multiple of 32442 and 32454?

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 32442 and 32454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32442 and 32454, than apply into the LCM equation.

GCF(32442,32454) = 6
LCM(32442,32454) = ( 32442 × 32454) / 6
LCM(32442,32454) = 1052872668 / 6
LCM(32442,32454) = 175478778

Least Common Multiple (LCM) of 32442 and 32454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32442 and 32454. First we will calculate the prime factors of 32442 and 32454.

Prime Factorization of 32442

Prime Factorization of 32454

Now multiplying the highest exponent prime factors to calculate the LCM of 32442 and 32454.

LCM(32442,32454) = 2¹ × 3³ × 5407¹ × 601¹
LCM(32442,32454) = 175478778