What is the Least Common Multiple of 47064 and 47080?

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 47080 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 47080, than apply into the LCM equation.

GCF(47064,47080) = 8
LCM(47064,47080) = ( 47064 × 47080) / 8
LCM(47064,47080) = 2215773120 / 8
LCM(47064,47080) = 276971640

Least Common Multiple (LCM) of 47064 and 47080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47064 and 47080. First we will calculate the prime factors of 47064 and 47080.

Prime Factorization of 47064

Prime Factorization of 47080

Now multiplying the highest exponent prime factors to calculate the LCM of 47064 and 47080.

LCM(47064,47080) = 2³ × 3¹ × 37¹ × 53¹ × 5¹ × 11¹ × 107¹
LCM(47064,47080) = 276971640