What is the Least Common Multiple of 56832 and 56852?

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 56832 and 56852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56832 and 56852, than apply into the LCM equation.

GCF(56832,56852) = 4
LCM(56832,56852) = ( 56832 × 56852) / 4
LCM(56832,56852) = 3231012864 / 4
LCM(56832,56852) = 807753216

Least Common Multiple (LCM) of 56832 and 56852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56832 and 56852. First we will calculate the prime factors of 56832 and 56852.

Prime Factorization of 56832

Prime Factorization of 56852

Now multiplying the highest exponent prime factors to calculate the LCM of 56832 and 56852.

LCM(56832,56852) = 2⁹ × 3¹ × 37¹ × 61¹ × 233¹
LCM(56832,56852) = 807753216