What is the Least Common Multiple of 59428 and 59442?

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 59428 and 59442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59428 and 59442, than apply into the LCM equation.

GCF(59428,59442) = 2
LCM(59428,59442) = ( 59428 × 59442) / 2
LCM(59428,59442) = 3532519176 / 2
LCM(59428,59442) = 1766259588

Least Common Multiple (LCM) of 59428 and 59442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59428 and 59442. First we will calculate the prime factors of 59428 and 59442.

Prime Factorization of 59428

Prime Factorization of 59442

Now multiplying the highest exponent prime factors to calculate the LCM of 59428 and 59442.

LCM(59428,59442) = 2² × 83¹ × 179¹ × 3¹ × 9907¹
LCM(59428,59442) = 1766259588