What is the Least Common Multiple of 47952 and 47956?

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 47952 and 47956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47952 and 47956, than apply into the LCM equation.

GCF(47952,47956) = 4
LCM(47952,47956) = ( 47952 × 47956) / 4
LCM(47952,47956) = 2299586112 / 4
LCM(47952,47956) = 574896528

Least Common Multiple (LCM) of 47952 and 47956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47952 and 47956. First we will calculate the prime factors of 47952 and 47956.

Prime Factorization of 47952

Prime Factorization of 47956

Now multiplying the highest exponent prime factors to calculate the LCM of 47952 and 47956.

LCM(47952,47956) = 2⁴ × 3⁴ × 37¹ × 19¹ × 631¹
LCM(47952,47956) = 574896528