What is the Least Common Multiple of 47034 and 47046?

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 47034 and 47046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47034 and 47046, than apply into the LCM equation.

GCF(47034,47046) = 6
LCM(47034,47046) = ( 47034 × 47046) / 6
LCM(47034,47046) = 2212761564 / 6
LCM(47034,47046) = 368793594

Least Common Multiple (LCM) of 47034 and 47046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47034 and 47046. First we will calculate the prime factors of 47034 and 47046.

Prime Factorization of 47034

Prime Factorization of 47046

Now multiplying the highest exponent prime factors to calculate the LCM of 47034 and 47046.

LCM(47034,47046) = 2¹ × 3³ × 13¹ × 67¹ × 7841¹
LCM(47034,47046) = 368793594