What is the Least Common Multiple of 56058 and 56078?

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 56058 and 56078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56058 and 56078, than apply into the LCM equation.

GCF(56058,56078) = 2
LCM(56058,56078) = ( 56058 × 56078) / 2
LCM(56058,56078) = 3143620524 / 2
LCM(56058,56078) = 1571810262

Least Common Multiple (LCM) of 56058 and 56078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56058 and 56078. First we will calculate the prime factors of 56058 and 56078.

Prime Factorization of 56058

Prime Factorization of 56078

Now multiplying the highest exponent prime factors to calculate the LCM of 56058 and 56078.

LCM(56058,56078) = 2¹ × 3¹ × 9343¹ × 11¹ × 2549¹
LCM(56058,56078) = 1571810262