What is the Least Common Multiple of 56760 and 56772?

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 56760 and 56772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56760 and 56772, than apply into the LCM equation.

GCF(56760,56772) = 12
LCM(56760,56772) = ( 56760 × 56772) / 12
LCM(56760,56772) = 3222378720 / 12
LCM(56760,56772) = 268531560

Least Common Multiple (LCM) of 56760 and 56772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56760 and 56772. First we will calculate the prime factors of 56760 and 56772.

Prime Factorization of 56760

Prime Factorization of 56772

Now multiplying the highest exponent prime factors to calculate the LCM of 56760 and 56772.

LCM(56760,56772) = 2³ × 3² × 5¹ × 11¹ × 43¹ × 19¹ × 83¹
LCM(56760,56772) = 268531560