What is the Least Common Multiple of 56735 and 56749?

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 56735 and 56749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56735 and 56749, than apply into the LCM equation.

GCF(56735,56749) = 7
LCM(56735,56749) = ( 56735 × 56749) / 7
LCM(56735,56749) = 3219654515 / 7
LCM(56735,56749) = 459950645

Least Common Multiple (LCM) of 56735 and 56749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56735 and 56749. First we will calculate the prime factors of 56735 and 56749.

Prime Factorization of 56735

Prime Factorization of 56749

Now multiplying the highest exponent prime factors to calculate the LCM of 56735 and 56749.

LCM(56735,56749) = 5¹ × 7¹ × 1621¹ × 11² × 67¹
LCM(56735,56749) = 459950645