What is the Least Common Multiple of 56034 and 56042?

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 56034 and 56042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56034 and 56042, than apply into the LCM equation.

GCF(56034,56042) = 2
LCM(56034,56042) = ( 56034 × 56042) / 2
LCM(56034,56042) = 3140257428 / 2
LCM(56034,56042) = 1570128714

Least Common Multiple (LCM) of 56034 and 56042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56034 and 56042. First we will calculate the prime factors of 56034 and 56042.

Prime Factorization of 56034

Prime Factorization of 56042

Now multiplying the highest exponent prime factors to calculate the LCM of 56034 and 56042.

LCM(56034,56042) = 2¹ × 3² × 11¹ × 283¹ × 7¹ × 4003¹
LCM(56034,56042) = 1570128714