What is the Least Common Multiple of 29754 and 29769?

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 29754 and 29769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29754 and 29769, than apply into the LCM equation.

GCF(29754,29769) = 3
LCM(29754,29769) = ( 29754 × 29769) / 3
LCM(29754,29769) = 885746826 / 3
LCM(29754,29769) = 295248942

Least Common Multiple (LCM) of 29754 and 29769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29754 and 29769. First we will calculate the prime factors of 29754 and 29769.

Prime Factorization of 29754

Prime Factorization of 29769

Now multiplying the highest exponent prime factors to calculate the LCM of 29754 and 29769.

LCM(29754,29769) = 2¹ × 3³ × 19¹ × 29¹ × 9923¹
LCM(29754,29769) = 295248942