What is the Least Common Multiple of 47060 and 47068?

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 47060 and 47068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47060 and 47068, than apply into the LCM equation.

GCF(47060,47068) = 4
LCM(47060,47068) = ( 47060 × 47068) / 4
LCM(47060,47068) = 2215020080 / 4
LCM(47060,47068) = 553755020

Least Common Multiple (LCM) of 47060 and 47068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47060 and 47068. First we will calculate the prime factors of 47060 and 47068.

Prime Factorization of 47060

Prime Factorization of 47068

Now multiplying the highest exponent prime factors to calculate the LCM of 47060 and 47068.

LCM(47060,47068) = 2² × 5¹ × 13¹ × 181¹ × 7¹ × 41²
LCM(47060,47068) = 553755020