What is the Least Common Multiple of 47064 and 47082?

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 47064 and 47082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47064 and 47082, than apply into the LCM equation.

GCF(47064,47082) = 6
LCM(47064,47082) = ( 47064 × 47082) / 6
LCM(47064,47082) = 2215867248 / 6
LCM(47064,47082) = 369311208

Least Common Multiple (LCM) of 47064 and 47082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47064 and 47082. First we will calculate the prime factors of 47064 and 47082.

Prime Factorization of 47064

Prime Factorization of 47082

Now multiplying the highest exponent prime factors to calculate the LCM of 47064 and 47082.

LCM(47064,47082) = 2³ × 3¹ × 37¹ × 53¹ × 7¹ × 19¹ × 59¹
LCM(47064,47082) = 369311208