What is the Least Common Multiple of 56789 and 56807?

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 56789 and 56807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56789 and 56807, than apply into the LCM equation.

GCF(56789,56807) = 1
LCM(56789,56807) = ( 56789 × 56807) / 1
LCM(56789,56807) = 3226012723 / 1
LCM(56789,56807) = 3226012723

Least Common Multiple (LCM) of 56789 and 56807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56789 and 56807. First we will calculate the prime factors of 56789 and 56807.

Prime Factorization of 56789

Prime Factorization of 56807

Now multiplying the highest exponent prime factors to calculate the LCM of 56789 and 56807.

LCM(56789,56807) = 109¹ × 521¹ × 56807¹
LCM(56789,56807) = 3226012723