What is the Least Common Multiple of 47061 and 47078?

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 47061 and 47078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47061 and 47078, than apply into the LCM equation.

GCF(47061,47078) = 1
LCM(47061,47078) = ( 47061 × 47078) / 1
LCM(47061,47078) = 2215537758 / 1
LCM(47061,47078) = 2215537758

Least Common Multiple (LCM) of 47061 and 47078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47061 and 47078. First we will calculate the prime factors of 47061 and 47078.

Prime Factorization of 47061

Prime Factorization of 47078

Now multiplying the highest exponent prime factors to calculate the LCM of 47061 and 47078.

LCM(47061,47078) = 3⁴ × 7¹ × 83¹ × 2¹ × 23539¹
LCM(47061,47078) = 2215537758