What is the Least Common Multiple of 68730 and 68749?

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 68730 and 68749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68730 and 68749, than apply into the LCM equation.

GCF(68730,68749) = 1
LCM(68730,68749) = ( 68730 × 68749) / 1
LCM(68730,68749) = 4725118770 / 1
LCM(68730,68749) = 4725118770

Least Common Multiple (LCM) of 68730 and 68749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68730 and 68749. First we will calculate the prime factors of 68730 and 68749.

Prime Factorization of 68730

Prime Factorization of 68749

Now multiplying the highest exponent prime factors to calculate the LCM of 68730 and 68749.

LCM(68730,68749) = 2¹ × 3¹ × 5¹ × 29¹ × 79¹ × 68749¹
LCM(68730,68749) = 4725118770