What is the Least Common Multiple of 24735 and 24749?

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 24735 and 24749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24735 and 24749, than apply into the LCM equation.

GCF(24735,24749) = 1
LCM(24735,24749) = ( 24735 × 24749) / 1
LCM(24735,24749) = 612166515 / 1
LCM(24735,24749) = 612166515

Least Common Multiple (LCM) of 24735 and 24749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24735 and 24749. First we will calculate the prime factors of 24735 and 24749.

Prime Factorization of 24735

Prime Factorization of 24749

Now multiplying the highest exponent prime factors to calculate the LCM of 24735 and 24749.

LCM(24735,24749) = 3¹ × 5¹ × 17¹ × 97¹ × 24749¹
LCM(24735,24749) = 612166515