What is the Least Common Multiple of 47106 and 47118?

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 47106 and 47118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47106 and 47118, than apply into the LCM equation.

GCF(47106,47118) = 6
LCM(47106,47118) = ( 47106 × 47118) / 6
LCM(47106,47118) = 2219540508 / 6
LCM(47106,47118) = 369923418

Least Common Multiple (LCM) of 47106 and 47118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47106 and 47118. First we will calculate the prime factors of 47106 and 47118.

Prime Factorization of 47106

Prime Factorization of 47118

Now multiplying the highest exponent prime factors to calculate the LCM of 47106 and 47118.

LCM(47106,47118) = 2¹ × 3² × 2617¹ × 7853¹
LCM(47106,47118) = 369923418